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Mathematical Inequalities & Applications最新文献

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Weighted composition operators and their products on L^2 (Σ) L^2上的加权复合算子及其乘积(Σ)
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-21
M. Jabbarzadeh, M. Gheytaran
{"title":"Weighted composition operators and their products on L^2 (Σ)","authors":"M. Jabbarzadeh, M. Gheytaran","doi":"10.7153/MIA-2021-24-21","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-21","url":null,"abstract":". In this paper, we study the ascent and descent of weighted composition operators on L 2 ( Σ ) . In addition, we discuss measure theoretic characterizations of some classical properties for products of these type operators.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204056","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}
引用次数: 0
Transference method for cone-like restricted summability of the two-dimensional Walsh-like systems 二维类walsh系统的锥型受限可和性的迁移方法
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-16
K. Nagy, M. Salim
{"title":"Transference method for cone-like restricted summability of the two-dimensional Walsh-like systems","authors":"K. Nagy, M. Salim","doi":"10.7153/MIA-2021-24-16","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-16","url":null,"abstract":". In the present paper we investigate the boundedness of the maximal operator of some d -dimensional means, provided that the set of the indeces is inside a cone-like set L . Applying some assumptions on the summation kernels P n 1 ,..., n d we state that the cone-like restricted maximal operator T γ CLR is bounded from the Hardy space H γ p to the Lebesgue space L p for p > p 0 . In the end point p 0 assuming some natural conditions on one-dimensional kernels we show that the maximal operator T γ CLR is not bounded from the Hardy space H γ p 0 to the Lebesgue space L p 0 .","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204218","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}
引用次数: 0
Refinements of Ky Fan's eigenvalue inequality for simple Euclidean Jordan algebras by using gradients of K-increasing functions 用k递增函数的梯度改进简单欧几里得约当代数的Ky Fan特征值不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-74
M. Niezgoda
{"title":"Refinements of Ky Fan's eigenvalue inequality for simple Euclidean Jordan algebras by using gradients of K-increasing functions","authors":"M. Niezgoda","doi":"10.7153/mia-2021-24-74","DOIUrl":"https://doi.org/10.7153/mia-2021-24-74","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204735","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}
引用次数: 1
Some notes on Jensen-Mercer's type inequalities; extensions and refinements with applications 关于Jensen-Mercer类型不等式的几点注释应用程序的扩展和改进
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-76
L. Horváth
{"title":"Some notes on Jensen-Mercer's type inequalities; extensions and refinements with applications","authors":"L. Horváth","doi":"10.7153/mia-2021-24-76","DOIUrl":"https://doi.org/10.7153/mia-2021-24-76","url":null,"abstract":". In this paper we study inequalities corresponding to Jensen-Mercer’s inequality. Some new extensions of Niezgoda’s inequality and the integral version of Jensen-Mercer’s inequality are given. The obtained inequalities do not only generalize the former ones, but our proofs are natural and simple. They clearly show the structure of such inequalities: they consist of two parts, a discrete or integral Jensen’s inequality and then a majorization type inequality. An- other purpose of the paper is to provide a deeper understanding of the methods used to re fi ne Jensen-Mercer’s and the corresponding inequalities. Moreover, some new re fi nements of these inequalities are obtained. Finally, some applications related to Fej´er’s and Hermite-Hadamard inequalities are given.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204802","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}
引用次数: 6
On some properties of the Carath'{e}odory functions Carath'{e}气味函数的一些性质
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-05
N. Cho, O. S. Kwon, M. Nunokawa, J. Sokół
{"title":"On some properties of the Carath'{e}odory functions","authors":"N. Cho, O. S. Kwon, M. Nunokawa, J. Sokół","doi":"10.7153/MIA-2021-24-05","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-05","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"61-70"},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203685","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}
引用次数: 0
On Complex L_p affine isoperimetric inequalities 复L_p仿射等周不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-46
Yuehua Wu
{"title":"On Complex L_p affine isoperimetric inequalities","authors":"Yuehua Wu","doi":"10.7153/mia-2021-24-46","DOIUrl":"https://doi.org/10.7153/mia-2021-24-46","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203932","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}
引用次数: 2
Continuity of generalized Riesz potentials for double phase functionals 双相泛函广义Riesz势的连续性
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-49
T. Ohno, T. Shimomura
{"title":"Continuity of generalized Riesz potentials for double phase functionals","authors":"T. Ohno, T. Shimomura","doi":"10.7153/mia-2021-24-49","DOIUrl":"https://doi.org/10.7153/mia-2021-24-49","url":null,"abstract":"In this note, we are concerned with the continuity of generalized Riesz potentials Iρ,μ ,τ f of functions in Morrey spaces LΦ,ν,κ (X) of double phase functionals over bounded nondoubling metric measure spaces. Mathematics subject classification (2020): 31B15, 46E35.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204000","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}
引用次数: 1
Remarks on the monotonicity and convexity of Jensen's function 简森函数的单调性和凸性
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-37
Yang Huang, Yong ao Li, J. Pečarić
{"title":"Remarks on the monotonicity and convexity of Jensen's function","authors":"Yang Huang, Yong ao Li, J. Pečarić","doi":"10.7153/MIA-2021-24-37","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-37","url":null,"abstract":". Let x 1 , x 2 ,... , x n be nonnegative real numbers. The Jensen function of { x i } i = 1 is de fi ned as J s ( x ) = ( ∑ in = 1 x is ) 1 / s , also known as the L p -norm. It is well-known that J s ( x ) is decreasing on s ∈ ( 0 , + ∞ ) . Moreover, Beckenbach [Amer. Math. Monthly, 53 (1946), 501– 505] proved further that J s ( x ) is a convex function on s ∈ ( 0 , + ∞ ) . The goal of this note is two-fold. We fi rst revisit the skillful treatment of the proof of Beckenbach, and then we simplify the proof slightly. Additionally, we give a new proof of the convexity of J s ( x ) by using the H¨older inequality, our proof is more succinct and short. On the other hand, we investigate a Jensen-type inequality that arised from Fourier analysis by Stein and Weiss. As a byproduct, the Hardy-Littlewood-P´oya inequality is also included. (2010):","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204245","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}
引用次数: 0
Weighted norm inequalities for the generalized multilinear Stieltjes transformation 广义多线性Stieltjes变换的加权范数不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-53
Víctor García García, P. O. Salvador
{"title":"Weighted norm inequalities for the generalized multilinear Stieltjes transformation","authors":"Víctor García García, P. O. Salvador","doi":"10.7153/mia-2021-24-53","DOIUrl":"https://doi.org/10.7153/mia-2021-24-53","url":null,"abstract":". We characterize some weighted strong and weak-type inequalities for the generalized Stieltjes and Calder´on multilinear operators. As applications, we characterize a weighted multilinear Hilbert’s inequality and a weighted Hilbert’s multiple series theorem.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204680","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}
引用次数: 1
On L_p intersection mean ellipsoids and affine isoperimetric inequalities L_p交平均椭球与仿射等周不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-75
X. Cai, Fangwei Chen
{"title":"On L_p intersection mean ellipsoids and affine isoperimetric inequalities","authors":"X. Cai, Fangwei Chen","doi":"10.7153/mia-2021-24-75","DOIUrl":"https://doi.org/10.7153/mia-2021-24-75","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204785","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}
引用次数: 1
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