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Fractional Integrals and Generalized Olsen Inequalities

Hendra Gunawan
경북대학교 자연과학대학 수학과|2009.03|Kyungpook Mathematical Journal|제49권 제1호|pp. 31-39

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참고문헌

키워드

Fractional integral operatorsmultiplication operatorsMorrey spacesHardy-Littlewood maximal operatorsOlsen inequality
주제분류수학

초록

Let Tρ be the generalized fractional integral operator associated to a function [수식], as defined in [16]. For a function W on Rn, we shall be interested in the boundedness of the multiplication operator f → W ㆍTρ f on generalized｜ Morrey spaces. Under some assumptions on ρ, we obtain an inequality for W ㆍ Tρ, which can be viewed as an extension of Olsen's and Kurata-Nishigaki-Sugano's results

Abstract

Let Tρ be the generalized fractional integral operator associated to a function [수식], as defined in [16]. For a function W on Rn, we shall be interested in the boundedness of the multiplication operator f → W ㆍTρ f on generalized｜ Morrey spaces. Under some assumptions on ρ, we obtain an inequality for W ㆍ Tρ, which can be viewed as an extension of Olsen's and Kurata-Nishigaki-Sugano's results

참고문헌 (26)

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