Abstract
We consider pseudodifferential operators of variable orders acting in Hölder–Zygmund spaces of variable smoothness. We prove the boundedness and compactness of the operators under consideration and study the Fredholm property of pseudodifferential operators with slowly oscillating at infinity symbols in the weighted Hölder–Zygmund spaces of variable smoothness.
Mathematics Subject Classification (2010). Primary 35S05; Secondary 47G30.
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Kryakvin, V., Rabinovich, V. (2017). Pseudodifferential Operators in Weighted Hölder–Zygmund Spaces of Variable Smoothness. In: Bini, D., Ehrhardt, T., Karlovich, A., Spitkovsky, I. (eds) Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics. Operator Theory: Advances and Applications, vol 259. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-49182-0_21
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DOI: https://doi.org/10.1007/978-3-319-49182-0_21
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-49180-6
Online ISBN: 978-3-319-49182-0
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