SOME PROPERTIES OF VARIABLE HERZ-TYPE BESOV SPACES AND APPLICATIONS
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Date
2017-04-30
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Université de M'sila
Abstract
In this thesis, we have generalize Plancheral-Polya-Nikolskij inequality in Herz spaces with variables exponents, after that we studied the Herz-Besov spaces with variable exponents where we gave some basic properties of these spaces and finally we studied the boundedness of some bilinear operators in Herz-Hardy spaces with variables exponents using atomic decomposition of these spaces.
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Keywords
Herz spaces, Herz-type Besov spaces, Herz-type Hardy spaces, Sobolev type embedding’s, Sublinear operators, Variable exponent, Maximal function, Atom.