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Matematicheskie Zametki, 2018, Volume 104, Issue 4, Pages 571–587
DOI: https://doi.org/10.4213/mzm12152 (Mi mzm12152) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Pseudodifferential Operators on Besov Spaces of Variable Smoothness

V. D. Kryakvina, V. S. Rabinovichb

a Southern Federal University, Rostov-on-Don
b Instituto Politecnico Nacional, ESIME–Zacatenco
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DOI: https://doi.org/10.4213/mzm12152
Abstract: 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.
Keywords: pseudodifferential operators, Besov spaces, variable smoothness, Fredholm theory, exponential estimates.
Received: 06.12.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 4, Pages 545–558
DOI: https://doi.org/10.1134/S0001434618090213
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: V. D. Kryakvin, V. S. Rabinovich, “Pseudodifferential Operators on Besov Spaces of Variable Smoothness”, Mat. Zametki, 104:4 (2018), 571–587; Math. Notes, 104:4 (2018), 545–558
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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