Using a classical result of Marcinkiewicz and Lizorkin about the L-p-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 L-p-regularity for multi-quasi-elliptic pseudo differential operators are also given.

L^p-bounded pseudodifferential operators and regularity for multi-quasi-elliptic equations

MORANDO, Alessandro
2005-01-01

Abstract

Using a classical result of Marcinkiewicz and Lizorkin about the L-p-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 L-p-regularity for multi-quasi-elliptic pseudo differential operators are also given.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/146
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