Pseudodifferential Operators on Besov Spaces of Variable Smoothness

V. D. Kryakvin ; V. S. Rabinovich

Matematičeskie zametki, Tome 104 (2018) no. 4, pp. 571-587.

Résumé

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.

Détail

Keywords: pseudodifferential operators, variable smoothness, Fredholm theory, exponential estimates.
Mots-clés : Besov spaces

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