Pseudodifferential Operators on Besov Spaces of Variable Smoothness

Pseudodifferential Operators on Besov Spaces of Variable Smoothness

We consider pseudodifferential operators of variable order acting on Besov spaces of variable smoothness. We prove the boundedness and compactness of such operators and study the Fredholm property of pseudodifferential operators of variable order with symbols slowly oscillating at infinity on weight...

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Veröffentlicht in:Mathematical Notes 2018-09, Vol.104 (3-4), p.545-558
Hauptverfasser: Kryakvin, V. D., Rabinovich, V. S.
Format: Artikel
Sprache:eng
Schlagworte:
Function space
Mathematics
Mathematics and Statistics
Operators
Smoothness
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Zusammenfassung:We consider pseudodifferential operators of variable order acting on Besov spaces of variable smoothness. We prove the boundedness and compactness of such operators and study the Fredholm property of pseudodifferential operators of variable order with symbols slowly oscillating at infinity on weighted Besov spaces with variable smoothness.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434618090213