Georgian Mathematical Journal最新文献

{"title":"Weak positive solutions to singular quasilinear elliptic equation","authors":"Chouhaïd Souissi, M. Hsini, N. Irzi, Wakaa Ali Hadba","doi":"10.1515/gmj-2024-2020","DOIUrl":"https://doi.org/10.1515/gmj-2024-2020","url":null,"abstract":"\u0000 <jats:p>In this paper, we study the existence of multiple solutions for the\u0000singular problem</jats:p>\u0000 <jats:p>\u0000 <jats:disp-formula id=\"j_gmj-2024-2020_eq_9999\">\u0000 <jats:alternatives>\u0000 <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\u0000 <m:mrow>\u0000 <m:mo>{</m:mo>\u0000 <m:mtable columnspacing=\"0pt\" displaystyle=\"true\" rowspacing=\"0pt\">\u0000 <m:mtr>\u0000 <m:mtd columnalign=\"right\">\u0000 <m:mrow>\u0000 <m:mrow>\u0000 <m:mi>a</m:mi>\u0000 <m:mo>⁢</m:mo>\u0000 <m:mrow>\u0000 <m:mo stretchy=\"false\">(</m:mo>\u0000 <m:mi>x</m:mi>\u0000 <m:mo>,</m:mo>\u0000 <m:mi>u</m:mi>\u0000 <m:mo>,</m:mo>\u0000 <m:mrow>\u0000 <m:mo>∇</m:mo>\u0000 <m:mo>⁡</m:mo>\u0000 <m:mi>u</m:mi>\u0000 </m:mrow>\u0000 <m:mo stretchy=\"false\">)</m:mo>\u0000 </m:mrow>\u0000 </m:mrow>\u0000 <m:mo>-</m:mo>\u0000 <m:mrow>\u0000 <m:mi>div</m:mi>\u0000 <m:mo>⁢</m:mo>\u0000 <m:mrow>\u0000 <m:mo stretchy=\"false\">(</m:mo>\u0000 <m:mrow>\u0000 <m:mi>b</m:mi>\u0000 <m:mo>⁢</m:mo>\u0000 <m:mrow>\u0000 <m:mo stretchy=\"false\">(</m:mo>\u0000 <m:mi>x</m:mi>\u0000 <m:mo>,</m:mo>\u0000 <m:mi>u</m:mi>\u0000 <m:mo>,</m:mo>\u0000 <m:mrow>\u0000 <m:mo>∇</m:mo>\u0000 <m:mo>⁡</m:mo>\u0000 <m:mi>u</m:mi>\u0000 ","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140662573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions","authors":"B. Xi, Shuhong Wang, Feng Qi","doi":"10.1515/gmj-2024-2018","DOIUrl":"https://doi.org/10.1515/gmj-2024-2018","url":null,"abstract":"\u0000 In the paper, the authors establish several integral inequalities of the Ostrowski type for s-logarithmically convex functions. These integral inequalities modify the conditions and correct errors in two main theorems of the paper [A. O. Akdemir and M. Tunç, Ostrowski type inequalities for s-logarithmically convex functions in the second sense with applications, Georgian Math. J.\u0000 22 (2015), no. 1, 1–7].","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140662718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A study on Fibo-Pascal sequence spaces and associated matrix transformations and applications of Hausdorff measure of non-compactness","authors":"M. C. Dağlı, Taja Yaying","doi":"10.1515/gmj-2024-2021","DOIUrl":"https://doi.org/10.1515/gmj-2024-2021","url":null,"abstract":"\u0000 <jats:p>In this article, we introduce Fibo-Pascal sequence spaces <jats:inline-formula id=\"j_gmj-2024-2021_ineq_9999\">\u0000 <jats:alternatives>\u0000 <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\u0000 <m:msubsup>\u0000 <m:mi>P</m:mi>\u0000 <m:mi>p</m:mi>\u0000 <m:mi>F</m:mi>\u0000 </m:msubsup>\u0000 </m:math>\u0000 <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2021_eq_0255.png\" />\u0000 <jats:tex-math>{P_{p}^{F}}</jats:tex-math>\u0000 </jats:alternatives>\u0000 </jats:inline-formula>, <jats:inline-formula id=\"j_gmj-2024-2021_ineq_9998\">\u0000 <jats:alternatives>\u0000 <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\u0000 <m:mrow>\u0000 <m:mn>0</m:mn>\u0000 <m:mo><</m:mo>\u0000 <m:mi>p</m:mi>\u0000 <m:mo><</m:mo>\u0000 <m:mi mathvariant=\"normal\">∞</m:mi>\u0000 </m:mrow>\u0000 </m:math>\u0000 <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2021_eq_0223.png\" />\u0000 <jats:tex-math>{0<p<infty}</jats:tex-math>\u0000 </jats:alternatives>\u0000 </jats:inline-formula>, and <jats:inline-formula id=\"j_gmj-2024-2021_ineq_9997\">\u0000 <jats:alternatives>\u0000 <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\u0000 <m:msubsup>\u0000 <m:mi>P</m:mi>\u0000 <m:mi mathvariant=\"normal\">∞</m:mi>\u0000 <m:mi>F</m:mi>\u0000 </m:msubsup>\u0000 </m:math>\u0000 <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2021_eq_0253.png\" />\u0000 <jats:tex-math>{P_{infty}^{F}}</jats:tex-math>\u0000 </jats:alternatives>\u0000 </jats:inline-formula> through the utilization of the Fibo-Pascal matrix <jats:inline-formula id=\"j_gmj-2024-2021_ineq_9996\">\u0000 <jats:alternatives>\u0000 <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\u0000 <m:msup>\u0000 <m:mi>P</m:mi>\u0000 <m:mi>F</m:mi>\u0000 </m:msup>\u0000 </m:math>\u0000 <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2021_eq_0250.png\" />\u0000 <jats:tex-math>{P^{F}}</jats:tex-math>\u0000 </jats:al","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140663344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the polar dualities and star dualities of the quasi Lp\u0000 -intersection bodies","authors":"Yanping Zhou, Weidong Wang","doi":"10.1515/gmj-2024-2019","DOIUrl":"https://doi.org/10.1515/gmj-2024-2019","url":null,"abstract":"\u0000 <jats:p>Yu, Wu and Leng defined the quasi <jats:inline-formula id=\"j_gmj-2024-2019_ineq_9999\">\u0000 <jats:alternatives>\u0000 <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\u0000 <m:msub>\u0000 <m:mi>L</m:mi>\u0000 <m:mi>p</m:mi>\u0000 </m:msub>\u0000 </m:math>\u0000 <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2019_eq_0094.png\" />\u0000 <jats:tex-math>{L_{p}}</jats:tex-math>\u0000 </jats:alternatives>\u0000 </jats:inline-formula>-intersection bodies.\u0000In this paper, we consider the polar dualities and star dualities of quasi <jats:inline-formula id=\"j_gmj-2024-2019_ineq_9998\">\u0000 <jats:alternatives>\u0000 <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\u0000 <m:msub>\u0000 <m:mi>L</m:mi>\u0000 <m:mi>p</m:mi>\u0000 </m:msub>\u0000 </m:math>\u0000 <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2019_eq_0094.png\" />\u0000 <jats:tex-math>{L_{p}}</jats:tex-math>\u0000 </jats:alternatives>\u0000 </jats:inline-formula>-intersection bodies and establish some related inequalities.</jats:p>","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140659733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Capacity in Besov and Triebel–Lizorkin spaces with generalized smoothness","authors":"Nijjwal Karak, Debarati Mondal","doi":"10.1515/gmj-2024-2015","DOIUrl":"https://doi.org/10.1515/gmj-2024-2015","url":null,"abstract":"\u0000 We prove a lower bound estimate for capacities in Hajłasz–Besov, Hajłasz–Triebel–Lizorkin and Hajłasz–Sobolev spaces with generalized smoothness defined on metric spaces in terms of Netrusov–Hausdorff content or Hausdorff content. These results are improvements of the results obtained in [Z. Li, D. Yang and W. Yuan, Lebesgue points of Besov and Triebel–Lizorkin spaces with generalized smoothness,\u0000Mathematics 9 2021, 10.3390/math9212724].","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140661466","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"New estimates for the Berezin number of Hilbert space operators","authors":"Parvaneh Zolfaghari","doi":"10.1515/gmj-2024-2012","DOIUrl":"https://doi.org/10.1515/gmj-2024-2012","url":null,"abstract":"In this article, we improve some Berezin number inequalities concerning a Hilbert space. It is shown that if <jats:italic>T</jats:italic> is a bounded linear operator on a Hilbert space, then for any <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mi>r</m:mi> <m:mo>≥</m:mo> <m:mn>1</m:mn> </m:mrow> </m:math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2012_eq_0198.png\" /> <jats:tex-math>{rgeq 1}</jats:tex-math> </jats:alternatives> </jats:inline-formula>, <jats:disp-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:msup> <m:mi>𝐛𝐞𝐫</m:mi> <m:mrow> <m:mn>2</m:mn> <m:mo>⁢</m:mo> <m:mi>r</m:mi> </m:mrow> </m:msup> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:mi>T</m:mi> <m:mo stretchy=\"false\">)</m:mo> </m:mrow> <m:mo>≤</m:mo> <m:mfrac> <m:mn>1</m:mn> <m:mn>2</m:mn> </m:mfrac> <m:msup> <m:mi>𝐛𝐞𝐫</m:mi> <m:mi>r</m:mi> </m:msup> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:mo stretchy=\"false\">|</m:mo> <m:msup> <m:mi>T</m:mi> <m:mo>*</m:mo> </m:msup> <m:msup> <m:mo stretchy=\"false\">|</m:mo> <m:mrow> <m:mn>2</m:mn> <m:mo>⁢</m:mo> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:mrow> <m:mn>1</m:mn> <m:mo>-</m:mo> <m:mi>t</m:mi> </m:mrow> <m:mo stretchy=\"false\">)</m:mo> </m:mrow> </m:mrow> </m:msup> <m:mo stretchy=\"false\">|</m:mo> <m:mi>T</m:mi> <m:msup> <m:mo stretchy=\"false\">|</m:mo> <m:mrow> <m:mn>2</m:mn> <m:mo>⁢</m:mo> <m:mi>t</m:mi> </m:mrow> </m:msup> <m:mo stretchy=\"false\">)</m:mo> </m:mrow> <m:mo>+</m:mo> <m:mfrac> <m:mn>1</m:mn> <m:mn>4</m:mn> </m:mfrac> <m:mo>∥</m:mo> <m:mo stretchy=\"false\">|</m:mo> <m:mi>T</m:mi> <m:msup> <m:mo stretchy=\"false\">|</m:mo> <m:mrow> <m:mn>4</m:mn> <m:mo>⁢</m:mo> <m:mi>r</m:mi> <m:mo>⁢</m:mo> <m:mi>t</m:mi> </m:mrow> </m:msup> <m:mo>+</m:mo> <m:mo stretchy=\"false\">|</m:mo> <m:msup> <m:mi>T</m:mi> <m:mo>*</m:mo> </m:msup> <m:msup> <m:mo stretchy=\"false\">|</m:mo> <m:mrow> <m:mn>4</m:mn> <m:mo>⁢</m:mo> <m:mi>r</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:mrow> <m:mn>1</m:mn> <m:mo>-</m:mo> <m:mi>t</m:mi> </m:mrow> <m:mo stretchy=\"false\">)</m:mo> </m:mrow> </m:mrow> </m:msup> <m:msub> <m:mo>∥</m:mo> <m:mi>𝐛𝐞𝐫</m:mi> </m:msub> <m:mo mathvariant=\"italic\" separator=\"true\"> </m:mo> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:mn>0</m:mn> <m:mo>≤</m:mo> <m:mi>t</m:mi> <m:mo>≤</m:mo> <m:mn>1</m:mn> <m:mo stretchy=\"false\">)</m:mo> </m:mrow> <m:mo>,</m:mo> </m:mrow> </m:math> <jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2012_eq_0060.png\" /> <jats:tex-math>mathbf{ber}^{2r}(T)leqfrac{1}{2}mathbf{ber}^{r}({{|{{T}^{*}}|}^{2(1-t)}}{{% |T|}^{2t}})+frac{1}{4}{{|{{|T|}^{4rt}}+{{|{{T}^{*}}|}^{4r(1-t)}}|}_{mathbf% {ber}}}quad(0leq tleq 1),</jats:tex-math> </jats:alternatives> </jats:disp-formula> where <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mrow> <m:mo ","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140299181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On generalized derivations in factor rings","authors":"Mohammed Zerra, Karim Bouchannafa, Lahcen Oukhtite","doi":"10.1515/gmj-2024-2017","DOIUrl":"https://doi.org/10.1515/gmj-2024-2017","url":null,"abstract":"The main purpose of this paper is to scrutinize the deportment of generalized derivations of <jats:italic>R</jats:italic> satisfying some functional <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mo>*</m:mo> </m:math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2017_eq_0051.png\" /> <jats:tex-math>{*}</jats:tex-math> </jats:alternatives> </jats:inline-formula>-identities involving the center of the factor ring <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mi>R</m:mi> <m:mo>/</m:mo> <m:mi>P</m:mi> </m:mrow> </m:math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2017_eq_0081.png\" /> <jats:tex-math>{R/P}</jats:tex-math> </jats:alternatives> </jats:inline-formula> where <jats:italic>P</jats:italic> is a prime ideal of the ring <jats:italic>R</jats:italic>. Moreover, we suggest to give generalization of some well known results.","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140299509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Group invertibility of the sum in rings and its applications","authors":"Huanyin Chen, Dayong Liu, Marjan Sheibani","doi":"10.1515/gmj-2024-2010","DOIUrl":"https://doi.org/10.1515/gmj-2024-2010","url":null,"abstract":"We present necessary and sufficient conditions under which the sum of two group invertible elements in a ring is group invertible. As applications, we establish the existence of group inverses of certain <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mn>2</m:mn> <m:mo>×</m:mo> <m:mn>2</m:mn> </m:mrow> </m:math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2010_eq_0193.png\" /> <jats:tex-math>{2times 2}</jats:tex-math> </jats:alternatives> </jats:inline-formula> block-operator matrices over a Banach space. These generalize the known results, e.g., Zhou, Chen and Zhu (<jats:italic>Comm. Algebra</jats:italic> 48 (2020), 676–690) and Benítez, Liu and Zhu (<jats:italic>Linear Multilinear Algebra</jats:italic> 59 (2011), 279–289).","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140299185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Generalized Stockwell transforms: Spherical mean operators and applications","authors":"Saifallah Ghobber, Hatem Mejjaoli","doi":"10.1515/gmj-2024-2014","DOIUrl":"https://doi.org/10.1515/gmj-2024-2014","url":null,"abstract":"The spherical mean operator has been widely studied and has seen remarkable development in many areas of harmonic analysis. In this paper, we consider the Stockwell transform related to the spherical mean operator. Since the study of time-frequency analysis is both theoretically interesting and practically useful, we will study several problems for the generalized Stockwell transform. Firstly, we explore the Shapiro uncertainty principle for this transformation. Next, we will study the boundedness and then the compactness of localization operators related to the generalized Stockwell transform, and finally we will introduce and study its scalogram.","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140299186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Weak type estimates of genuine Calderón–Zygmund operators on the local Morrey spaces associated with ball quasi-Banach function spaces","authors":"Mingwei Shi, Jiang Zhou, Songbai Wang","doi":"10.1515/gmj-2024-2013","DOIUrl":"https://doi.org/10.1515/gmj-2024-2013","url":null,"abstract":"Weak type estimates for genuine Calderón–Zygmund operators are established on the local Morrey spaces associated with ball quasi-Banach function spaces by two different methods. Above all, we obtain weak type estimates for the operator on the local weak Morrey spaces with variable exponents.","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140299212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}