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On the Boundedness of Marcinkiewicz Integrals on Variable Exponent Herz-type Hardy Spaces

Rabah Heraiz
경북대학교 자연과학대학 수학과|2019.06|Kyungpook Mathematical Journal|제59권 제2호|pp. 259-275|DOI 10.5666/KMJ.2019.59.2.259

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키워드

variable exponentHerz spacesHerz-type Hardy spacesHardytlewood maximal operatorMarcinkiewicz integral operators
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초록

The aim of this paper is to prove that Marcinkiewicz integral operators are bounded from _K ();q() p() (Rn) to _K ();q() p() (Rn) when the parameters (); p() and q() satis es some conditions. Also, we prove the boundedness of  on variable Herz-type Hardy spaces H _K ();q() p() (Rn).

Abstract

The aim of this paper is to prove that Marcinkiewicz integral operators are bounded from _K ();q() p() (Rn) to _K ();q() p() (Rn) when the parameters (); p() and q() satis es some conditions. Also, we prove the boundedness of  on variable Herz-type Hardy spaces H _K ();q() p() (Rn).

참고문헌 (18)

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관련 논문AI추천

Boundedness for fractional Hardy-type operator on Herz-Morrey spaces with variable exponentWU Jianglong대한수학회 · 대한수학회보2014 · 제51권 제2호COMMUTATORS OF SINGULAR INTEGRAL OPERATOR ON HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENTHongbin Wang대한수학회 · 대한수학회지2017 · 제54권 제3호Weak Herz-type Hardy spaces with variable exponents and applicationsSouad Ben Seghier대한수학회 · 대한수학회지2023 · 제60권 제1호Anisotropic Variable Herz Spaces and ApplicationsAissa Djeriou, Rabah Heraiz경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제2호Weak boundedness for the commutator of $n$-dimensional rough Hardy operator on homogeneous Herz spaces and central Morrey spacesDunyan Yan, Lei Ji, Mingquan Wei대한수학회 · 대한수학회보2024 · 제61권 제4호Higher-order commutators of parameterized Littlewood-Paley operators on two weight Herz spaces with variable exponentsQi Wu, Yanqi Yang대한수학회 · 대한수학회지2025 · 제62권 제2호

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