Abstract:
An embedding theorem for spaces of functions of positive smoothness defined on irregular domains of n-dimensional Euclidean space in Lebesgue spaces is proved. The statement of the theorem depends on the geometric parameters of the domains of the functions.
Keywords:
embedding theorem, spaces of functions of positive smoothness, irregular domain, Lebesgue spaces.
Citation:
O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Spaces”, Mat. Zametki, 103:3 (2018), 336–345; Math. Notes, 103:3 (2018), 348–356
This publication is cited in the following 6 articles:
O. V. Besov, “Embeddings of spaces of functions of positive smoothness on irregular domains”, Dokl. Math., 99:1 (2019), 31–35
O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains”, Math. Notes, 106:4 (2019), 501–513
O. V. Besov, “Embeddings for weighted spaces of functions of positive smoothness on irregular domains into Lebesgue spaces”, Dokl. Math., 97:3 (2018), 236–239
O. V. Besov, “Embeddings of Weighted Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Space”, Math. Notes, 104:6 (2018), 799–809
Sawano Y., Theory of Besov Spaces, Developments in Mathematics, 56, Springer International Publishing Ag, 2018
Yoshihiro Sawano, Developments in Mathematics, 56, Theory of Besov Spaces, 2018, 709
Citation in format AMSBIB
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