L^p-regularity for a Class of Pseudodifferential Operators in R^n

Authors

  • A. Morando

Keywords:

Pseudo-differential operators;L^p boundedness;global hypoellipticity

Abstract

We study here a class of pseudodifferential operators with weighted symbols of Shubin type. First, we develop the basic elements of the pseudodifferential calculus for these operators, proving in particular a result of L^p-boundedness. Then we derive regularity results in the frame of suitably defined functional spaces of Sobolev type.

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Published

2005-08-02

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  • 38

Issue

Vol. 18 No. 3 (2005)

Section

Articles

How to Cite

L^p-regularity for a Class of Pseudodifferential Operators in R^n. (2005). Journal of Partial Differential Equations, 18(3), 241-262. https://global-sci.com/index.php/jpde/article/view/4049