Year: 2005
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 3 : pp. 241–262
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JPDE-5360
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 3 : pp. 241–262
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Pseudo-differential operators