On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces

被引：4

作者：

Hoepfner, G. ^{[1
]}

Kapp, R. ^{[1
]}

Picon, T. ^{[2
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

[2] Univ Sao Paulo, Dept Comp & Matemat, BR-14040901 Ribeirao Preto, SP, Brazil

来源：

POTENTIAL ANALYSIS | 2021年 / 55卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

Pseudodifferential operators; Hardy-Sobolev spaces; Compactness; Potential spaces; ELLIPTIC-SYSTEMS;

D O I：

10.1007/s11118-020-09866-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish Sobolev type compact embedding theorems for Hormander classes of pseudodifferential operators OpS(1,delta)(-alpha) on localizable Hardy space. Our work include new optimal boundedness results. As application, we obtain compact embeddings for compactly supported distributions with respect to the space variables in the nonhomogeneous localizable Hardy-Sobolev spaces.

引用

页码：491 / 512

页数：22

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