Lp-Bounded Pseudodifferential Operators and Regularity for Multi-quasi-elliptic Equations

被引：0

作者：

Gianluca Garello

Alessandro Morando

机构：

[1] Università di Torino,Dipartimento di Matematica

[2] Università di Brescia,Dipartimento di Matematica, Facoltà di Ingegneria

来源：

Integral Equations and Operator Theory | 2005年 / 51卷

关键词：

35S05; 35A17; Pseudodifferential operators; Fourier multipliers;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using a classical result of Marcinkiewicz and Lizorkin about the Lp-continuity for Fourier multipliers, the authors study the action of a class of pseudodifferential operators with weighted smooth symbol on a family of weighted Sobolev spaces. Results about Lp-regularity for multi-quasi-elliptic pseudodifferential operators are also given.

引用

页码：501 / 517

页数：16

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