Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup

Under the standard assumptions on the variable exponent p(x) (log- and decay conditions), we give a characterization of the variable exponent Bessel potential space B(alpha)[L(p(-))(R(n))] in terms of the rate of convergence of the Poisson semigroup P(t). We show that the existence of the Riesz frac...

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Bibliographic Details
Main Author: Rafeiro, Humberto (author)
Other Authors: Samko, Stefan (author)
Format: article
Language:eng
Published: 2018
Subjects:
L-P Spaces
Maximal-Function
Lebesgue Spaces
Operators
Online Access:http://hdl.handle.net/10400.1/11664
Country:Portugal
Oai:oai:sapientia.ualg.pt:10400.1/11664

Internet

http://hdl.handle.net/10400.1/11664

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