Rabah, HERAIZ2018-03-142018-03-142017-04-30http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/3582In 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.enHerz spaces, Herz-type Besov spaces, Herz-type Hardy spaces, Sobolev type embedding’s, Sublinear operators, Variable exponent, Maximal function, Atom.Thesis