Fractional Integration in Weighted Lebesgue Spaces

被引：2

作者：

Avetisyan, K. ^{[1
]}

机构：

[1] Yerevan State Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2021年 / 56卷 / 02期

关键词：

fractional integration; fractional differentiation; weighted Lebesgue spaces; mixed-norm spaces; BERGMAN TYPE OPERATORS; MIXED NORM SPACES; BALL;

D O I：

10.3103/S1068362321020023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The action of the fractional integration operator in weighted Lebesgue classes and mixed-norm spaces is studied in the unit ball from R-n. Some results of Hardy, Littlewood, and Flett are refined and generalized.

引用

页码：57 / 67

页数：11

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