MULTIPLICATION ON BESOV AND TRIEBEL-LIZORKIN SPACES OF POWER WEIGHTS

被引：1

作者：

Boulares, Hamza Brahim ^{[1
]}

Drihem, Douadi ^{[1
]}

机构：

[1] Msila Univ, Dept Math, Lab Funct Anal & Geometry Spaces, POB 166, Msila 28000, Algeria

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2023年 / 68卷 / 02期

关键词：

Besov spaces; Triebel-Lizorkin spaces; power weight; multiplication; pseudo differen-tial operators; HERZ-TYPE BESOV; POINTWISE MULTIPLICATION; MULTIPLIERS;

D O I：

10.7169/facm/1991

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with proving some embeddings of the form symbolscript symbolscript | & BULL; symbolscript & BULL; symbolscript symbolscript | & BULL; symbolscript ,& RARR; symbolscript symbolscript | & BULL; symbolscriptThe different embeddings obtained here are under certain restrictions on the parameters. Here symbolscript | & BULL; symbolscript stands for either the Besov space symbolscript | & BULL; symbolscript or the Triebel-Lizorkin space symbolscript | & BULL; symbolscript These spaces unify and generalize the classical Lebesgue spaces of power weights, Sobolev spaces of power weights, Besov spaces and Triebel-Lizorkin spaces. Almost all our as-sumptions on s, r, p1, p2, q1 and q2 are necessary. An application to the continuity of pseudo -differential operators with non-regular symbols on Triebel-Lizorkin spaces of power weights is given.

引用

页码：163 / 194

页数：32

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