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Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies 一般L_p -质心体的Busemann-Petty型问题
IF 0.6
Analysis in Theory and Applications Pub Date : 2023-06-01 DOI: 10.4208/ata.oa-2021-0030
Weidong Wang
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引用次数: 0
Boundedness of the Multilinear Maximal Operator with the Hausdorff Content 具有Hausdorff内容的多线性极大算子的有界性
IF 0.6
Analysis in Theory and Applications Pub Date : 2023-06-01 DOI: 10.4208/ata.oa-2021-0002
Shaoxue Liu, Qianjun He null, D. Yan
{"title":"Boundedness of the Multilinear Maximal Operator with the Hausdorff Content","authors":"Shaoxue Liu, Qianjun He null, D. Yan","doi":"10.4208/ata.oa-2021-0002","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0002","url":null,"abstract":". In this paper, we establish the strong and weak boundedness of the multi-linear maximal operator in the setting of the Choquet integral with respect to the α - dimensional Hausdorff content. Our results cover Orobitg and Verdera’s results in [8]","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"73 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83287744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space $L^2 (mathbb{R}^n ,e^{−|x|^2} )$ 加权希尔伯特空间中拉普拉斯多项式的右逆$L^2 (mathbb{R}^n,e^{−|x|^2})$
IF 0.6
Analysis in Theory and Applications Pub Date : 2023-06-01 DOI: 10.4208/ata.oa-2021-0027
Shaoyu Dai, Yang Liu null, Yifei Pan
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引用次数: 0
On Approximation by Neural Networks with Optimized Activation Functions and Fixed Weights 基于优化激活函数和固定权值的神经网络逼近
Analysis in Theory and Applications Pub Date : 2023-06-01 DOI: 10.4208/ata.oa-2021-0006
Dansheng Yu, Yunyou Qian null, Fengjun Li
{"title":"On Approximation by Neural Networks with Optimized Activation Functions and Fixed Weights","authors":"Dansheng Yu, Yunyou Qian null, Fengjun Li","doi":"10.4208/ata.oa-2021-0006","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0006","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135324978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rough Singular Integral Operators along Submanifolds 沿子流形的粗糙奇异积分算子
IF 0.6
Analysis in Theory and Applications Pub Date : 2022-12-01 DOI: 10.4208/ata.oa-0025
Feng Liu
{"title":"Rough Singular Integral Operators along Submanifolds","authors":"Feng Liu","doi":"10.4208/ata.oa-0025","DOIUrl":"https://doi.org/10.4208/ata.oa-0025","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"23 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77423178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weak Harnack Inequalities for Eigenvalues and the Monotonicity of Hessian’s Rank 特征值的弱Harnack不等式和Hessian秩的单调性
IF 0.6
Analysis in Theory and Applications Pub Date : 2022-12-01 DOI: 10.4208/ata.oa-2021-0048
Lu Yan
{"title":"Weak Harnack Inequalities for Eigenvalues and the Monotonicity of Hessian’s Rank","authors":"Lu Yan","doi":"10.4208/ata.oa-2021-0048","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0048","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"28 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80744651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hardy Operators and Commutators on Weighted Herz Spaces 加权赫兹空间上的Hardy算子和换向子
IF 0.6
Analysis in Theory and Applications Pub Date : 2022-12-01 DOI: 10.4208/ata.oa-2021-0013
Jingling Hu, Yang Li
{"title":"Hardy Operators and Commutators on Weighted Herz Spaces","authors":"Jingling Hu, Yang Li","doi":"10.4208/ata.oa-2021-0013","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0013","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86619970","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Solutions with Prescribed Asymptotic Behavior for the Exterior Dirichlet Problem of Hessian Equations Hessian方程外部Dirichlet问题的规定渐近性解
IF 0.6
Analysis in Theory and Applications Pub Date : 2022-11-01 DOI: 10.4208/ata.oa-2022-0009
Limei Dai
{"title":"The Solutions with Prescribed Asymptotic Behavior for the Exterior Dirichlet Problem of Hessian Equations","authors":"Limei Dai","doi":"10.4208/ata.oa-2022-0009","DOIUrl":"https://doi.org/10.4208/ata.oa-2022-0009","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"45 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78626367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characterizations of Bounded Singular Integral Operators on the Fock Space and Their Berezin Transforms Fock空间上有界奇异积分算子的刻画及其Berezin变换
IF 0.6
Analysis in Theory and Applications Pub Date : 2022-11-01 DOI: 10.4208/ata.oa-2021-0034
Xing Feng
{"title":"Characterizations of Bounded Singular Integral Operators on the Fock Space and Their Berezin Transforms","authors":"Xing Feng","doi":"10.4208/ata.oa-2021-0034","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0034","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"15 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76572875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
$(p, q)$-Analogue of Mittag-Leffler Function with $(p, q)$-Laplace Transform $(p, q)$-用$(p, q)$-拉普拉斯变换模拟Mittag-Leffler函数
IF 0.6
Analysis in Theory and Applications Pub Date : 2022-06-01 DOI: 10.4208/ata.oa-2018-0014
Alok Jain, A. Bhat, R. Jain, D. K. Jain
{"title":"$(p, q)$-Analogue of Mittag-Leffler Function with $(p, q)$-Laplace Transform","authors":"Alok Jain, A. Bhat, R. Jain, D. K. Jain","doi":"10.4208/ata.oa-2018-0014","DOIUrl":"https://doi.org/10.4208/ata.oa-2018-0014","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84711398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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