Pub Date : 2023-06-01DOI: 10.4208/ata.oa-2019-0031
C. Wu
Based on the results of the boundedness of μΩ on L p spaces, by using the theory of atomic decomposition of Hardy spaces, we obtain the boundedness of μΩ on Hardy spaces.
{"title":"Boundedness of Some Commutators of Marcinkiewicz Integrals on Hardy Spaces","authors":"C. Wu","doi":"10.4208/ata.oa-2019-0031","DOIUrl":"https://doi.org/10.4208/ata.oa-2019-0031","url":null,"abstract":"Based on the results of the boundedness of μΩ on L p spaces, by using the theory of atomic decomposition of Hardy spaces, we obtain the boundedness of μΩ on Hardy spaces.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76087472","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}
Pub Date : 2023-06-01DOI: 10.4208/ata.oa-2021-0002
Shaoxue Liu, Qianjun He null, D. Yan
. 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]
{"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":null,"pages":null},"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}
Pub Date : 2023-06-01DOI: 10.4208/ata.oa-2018-0022
Shaoyuan Xu, Suyu Cheng null, Yanying Han
{"title":"Strong $T$-Stability of Picard Iteration in a Non-Normal Cone Metric Space","authors":"Shaoyuan Xu, Suyu Cheng null, Yanying Han","doi":"10.4208/ata.oa-2018-0022","DOIUrl":"https://doi.org/10.4208/ata.oa-2018-0022","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91205346","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}
Pub Date : 2023-06-01DOI: 10.4208/ata.oa-2020-0049
Youssef Akdim null, Morad Ouboufettal
{"title":"Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and $L^1$ -Data","authors":"Youssef Akdim null, Morad Ouboufettal","doi":"10.4208/ata.oa-2020-0049","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0049","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82188100","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}
Pub Date : 2023-06-01DOI: 10.4208/ata.oa-2021-0027
Shaoyu Dai, Yang Liu null, Yifei Pan
{"title":"On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space $L^2 (mathbb{R}^n ,e^{−|x|^2} )$","authors":"Shaoyu Dai, Yang Liu null, Yifei Pan","doi":"10.4208/ata.oa-2021-0027","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0027","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78583668","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}
Pub Date : 2023-06-01DOI: 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":null,"pages":null},"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}
{"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":null,"pages":null},"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}
Pub Date : 2022-12-01DOI: 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":null,"pages":null},"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}
Pub Date : 2022-12-01DOI: 10.4208/ata.oa-2021-0007
Danqing Shu
{"title":"The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces","authors":"Danqing Shu","doi":"10.4208/ata.oa-2021-0007","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0007","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89433696","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}
Pub Date : 2022-12-01DOI: 10.4208/ata.oa-2022-0025
Zhen Sun
{"title":"Interior Gradient Estimates for General Prescribed Curvature Equations","authors":"Zhen Sun","doi":"10.4208/ata.oa-2022-0025","DOIUrl":"https://doi.org/10.4208/ata.oa-2022-0025","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74680405","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}
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