Lp-Bounded Pseudodifferential Operators and Regularity for Multi-quasi-elliptic Equations |
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Authors: | Gianluca Garello Alessandro Morando |
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Institution: | (1) Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, I-10123 Torino, Italy;(2) Dipartimento di Matematica, Facoltà di Ingegneria, Università di Brescia, Via Valotti 9, I-25133 Brescia, Italy |
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Abstract: | 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. |
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Keywords: | 35S05 35A17 |
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