Generalized weighted Besov spaces on the Bessel hypergroup
Author(s) -
Miloud Assal,
Hacen Ben Abdallah
Publication year - 2006
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2006/587016
Subject(s) - mathematics , bessel function , convolution (computer science) , pure mathematics , norm (philosophy) , besov space , translation (biology) , type (biology) , mathematical analysis , interpolation space , functional analysis , artificial intelligence , ecology , biochemistry , chemistry , biology , messenger rna , artificial neural network , computer science , political science , law , gene
In this paper we study generalized weighted Besov type spaces on the Bessel-Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces
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