Inequalities with conjugate exponents in grand Lebesgue spaces

Authors : René Erlín CASTİLLO, Humberto RAFEİRO

Pages : 33-39

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Publication Date : 2015-02-01

Article Type : Research Paper

Abstract :In this paper we want to show the validity of the generalized doubleparametric Hilbert inequality with conjugate exponents in the framework of grand Lebesgue spaces as a particular case of a more general result involving an homogeneous kernel. We also study the boundedness of an integral operator with the aforementioned kernel. 
Keywords : Lebesgue spaces, grand Lebesgue spaces, Hilbert inequality