{"title":"具有可变指数的$$p$$自变函数空间上的粗糙哈代-利特尔伍德算子","authors":"K. H. Dung, P. T. K. Thuy","doi":"10.1134/s2070046624030026","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> In this paper, we establish some sufficient conditions for the boundedness of rough Hardy-Littlewood operators on the <span>\\(p\\)</span>-adic local central Morrey, <span>\\(p\\)</span>-adic Morrey-Herz, and <span>\\(p\\)</span>-adic local block spaces with variable exponents. </p>","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"57 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rough Hardy-Littlewood Operators on $$p$$ -Adic Function Spaces with Variable Exponents\",\"authors\":\"K. H. Dung, P. T. K. Thuy\",\"doi\":\"10.1134/s2070046624030026\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> In this paper, we establish some sufficient conditions for the boundedness of rough Hardy-Littlewood operators on the <span>\\\\(p\\\\)</span>-adic local central Morrey, <span>\\\\(p\\\\)</span>-adic Morrey-Herz, and <span>\\\\(p\\\\)</span>-adic local block spaces with variable exponents. </p>\",\"PeriodicalId\":44654,\"journal\":{\"name\":\"P-Adic Numbers Ultrametric Analysis and Applications\",\"volume\":\"57 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"P-Adic Numbers Ultrametric Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s2070046624030026\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"P-Adic Numbers Ultrametric Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s2070046624030026","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
摘要
Abstract 在本文中,我们为具有可变指数的 \(p\)-adic local central Morrey、\(p\)-adic Morrey-Herz 和 \(p\)-adic local block spaces 上的粗糙 Hardy-Littlewood 算子的有界性建立了一些充分条件。
Rough Hardy-Littlewood Operators on $$p$$ -Adic Function Spaces with Variable Exponents
Abstract
In this paper, we establish some sufficient conditions for the boundedness of rough Hardy-Littlewood operators on the \(p\)-adic local central Morrey, \(p\)-adic Morrey-Herz, and \(p\)-adic local block spaces with variable exponents.
期刊介绍:
This is a new international interdisciplinary journal which contains original articles, short communications, and reviews on progress in various areas of pure and applied mathematics related with p-adic, adelic and ultrametric methods, including: mathematical physics, quantum theory, string theory, cosmology, nanoscience, life sciences; mathematical analysis, number theory, algebraic geometry, non-Archimedean and non-commutative geometry, theory of finite fields and rings, representation theory, functional analysis and graph theory; classical and quantum information, computer science, cryptography, image analysis, cognitive models, neural networks and bioinformatics; complex systems, dynamical systems, stochastic processes, hierarchy structures, modeling, control theory, economics and sociology; mesoscopic and nano systems, disordered and chaotic systems, spin glasses, macromolecules, molecular dynamics, biopolymers, genomics and biology; and other related fields.