Embeddings of Besov spaces for domains with Dini smooth boundary
https://doi.org/10.29235/1561-2430-2026-62-2-102-108
Abstract
The main result of the paper is the continuous embedding of Besov spaces of analytic functions in bounded domains with a Dini-smooth boundary. The proved embedding is consistent with and generalizes the known embeddings of Besov spaces for the circle and the half-plane. The independence of the definition of Besov spaces analytic in the considered domains of functions from the order of the derivative included in its de nition is shown.
About the Author
T. S. Mardvilko
Belarusian State University
Belarus
Belarus
Tatsiana S. Mardvilko – Ph. D. (Physics and Mathematics), Associate Professor
4, Nezavisimosti Ave., 220030, Minsk
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