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Mathematical Inequalities & Applications最新文献

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Convergence in measure of Fejér means of two parameter conjugate Walsh transforms fejsamir的收敛性意味着两个参数共轭Walsh变换
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-09
U. Goginava, S. Said
{"title":"Convergence in measure of Fejér means of two parameter conjugate Walsh transforms","authors":"U. Goginava, S. Said","doi":"10.7153/MIA-2021-24-09","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-09","url":null,"abstract":". Weisz proved-among others – that for f ∈ L log L the Fej´er means (cid:2) σ ( t , u ) n , m of conjugate transform of two-parameter Walsh-Fourier series a. e. converges to f ( t , u ) . The main aim of this paper is to prove that for any Orlicz space, which is not a subspace of L log L , the set of functions for which Walsh-Fej´er Means of two parameter Conjugate Transforms converge in measure is of fi rst Baire category.","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":"71203744","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
An extension of a Hardy's inequality and its applications 哈代不等式的推广及其应用
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-47
Łukasz Kamiński, A. Osȩkowski
{"title":"An extension of a Hardy's inequality and its applications","authors":"Łukasz Kamiński, A. Osȩkowski","doi":"10.7153/mia-2021-24-47","DOIUrl":"https://doi.org/10.7153/mia-2021-24-47","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":"71203946","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
Sharp inequalities between L^p-norms for the higher dimensional Hardy operator and its dual 高维Hardy算子及其对偶的L^p-范数之间的尖锐不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-20
Fayou Zhao, R. Liu
{"title":"Sharp inequalities between L^p-norms for the higher dimensional Hardy operator and its dual","authors":"Fayou Zhao, R. Liu","doi":"10.7153/MIA-2021-24-20","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-20","url":null,"abstract":". We derive the two-sided inequalities between L p ( X ) -norms ( 1 < p < ∞ ) of the higher dimensional Hardy operator and its dual, where the underlying space X is the Heisenberg group H n or the Euclidean space R n . The interest of main results is that it relates two-sided inequalities with sharp constants which are dimension free. The methodology is completely depending on the rotation method.","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":"71204032","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
A variable exponent boundedness of the Steklov operator Steklov算子的变指数有界性
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-45
Y. Zeren
{"title":"A variable exponent boundedness of the Steklov operator","authors":"Y. Zeren","doi":"10.7153/mia-2021-24-45","DOIUrl":"https://doi.org/10.7153/mia-2021-24-45","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":"71204321","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
Positive definiteness on products via generalized Stieltjes and other functions 利用广义Stieltjes和其他函数求积的正确定性
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-33
V. Menegatto
{"title":"Positive definiteness on products via generalized Stieltjes and other functions","authors":"V. Menegatto","doi":"10.7153/MIA-2021-24-33","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-33","url":null,"abstract":". Let ( X , ρ ) and ( Y , σ ) be quasi-metric spaces and λ a fi xed positive real number. This paper establishes the positive de fi niteness of functions of the form on X × Y , where r (cid:2) λ , f belongs to the convex cone of all generalized Stieltjes functions of order λ , and g and h are positive valued conditionally negative de fi nite functions on ( X , ρ ) and ( Y , σ ) , respectively. As a bypass, it establishes the positive de fi niteness of functions of the form H for a generalized complete Bernstein function f of order λ , under the same assumptions on r , g and h . The paper also provides necessary and suf fi cient conditions for the strict positive de fi niteness of the two models when the spaces involved are metric. The two results yield addi- tional methods to construct positive de fi nite and strictly positive de fi nite functions on a product of metric spaces by integral transforms.","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":"71204363","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
Weighted estimates and compactness of variation operators 变分算子的加权估计和紧性
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-65
Yongm ng Wen, Quanq ng Fang, Xianm ng Hou
{"title":"Weighted estimates and compactness of variation operators","authors":"Yongm ng Wen, Quanq ng Fang, Xianm ng Hou","doi":"10.7153/mia-2021-24-65","DOIUrl":"https://doi.org/10.7153/mia-2021-24-65","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"36 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204620","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
Lower bounds for the spread of a nonnegative matrix 非负矩阵展开的下界
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-55
R. Drnovšek
{"title":"Lower bounds for the spread of a nonnegative matrix","authors":"R. Drnovšek","doi":"10.7153/mia-2021-24-55","DOIUrl":"https://doi.org/10.7153/mia-2021-24-55","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"21 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204699","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
Improved fractional Hardy inequalities for Dunkl gradient 改进分数阶Hardy不等式的Dunkl梯度
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-10
V. P. Anoop, S. Parui
{"title":"Improved fractional Hardy inequalities for Dunkl gradient","authors":"V. P. Anoop, S. Parui","doi":"10.7153/MIA-2021-24-10","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-10","url":null,"abstract":". Weprove an improved fractional Hardy inequality in the Dunkl setting for the weighted space L p ( R N , d μ k ( x )) . Also we prove a similar inequality for half-space. Mathematics","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":"71203500","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
Properties of some subsequences of the Walsh-Kaczmarz-Dirichlet kernels Walsh-Kaczmarz-Dirichlet核的一些子序列的性质
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-03
N. Memić
{"title":"Properties of some subsequences of the Walsh-Kaczmarz-Dirichlet kernels","authors":"N. Memić","doi":"10.7153/MIA-2021-24-03","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-03","url":null,"abstract":"We study some properties of a family of subsequences of the Walsh-Kaczmarz-Dirichlet kernels. We prove properties related to the L1 norm of the weighted maximal function and to the Fejér means of partial sums of Fourier series obtained by convolution with integrable functions. Mathematics subject classification (2010): 42C10.","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":"71203658","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 weighted Hardy inequality with two-dimensional rectangular operator - extension of the E. Sawyer theorem 二维矩形算子的加权Hardy不等式——E. Sawyer定理的推广
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-43
V. Stepanov, E. Ushakova
{"title":"On weighted Hardy inequality with two-dimensional rectangular operator - extension of the E. Sawyer theorem","authors":"V. Stepanov, E. Ushakova","doi":"10.7153/mia-2021-24-43","DOIUrl":"https://doi.org/10.7153/mia-2021-24-43","url":null,"abstract":"A characterization is obtained for those pairs of weights $v$ and $w$ on $mathbb{R}^2_+$, for which the two--dimensional rectangular integration operator is bounded from a weighted Lebesgue space $L^p_v(mathbb{R}^2_+)$ to $L^q_w(mathbb{R}^2_+)$ for $1<pnot= q<infty$, which is an essential complement to E. Sawyer's result cite{Saw1} given for $1<pleq q<infty$. Besides, we declare that the E. Sawyer theorem is actual if $p=q$ only, for $p<q$ the criterion is less complicated. The case $q<p$ is new.","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":"71204303","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
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