Structural properties of Bilateral Grand Lebesque Spaces

Authors : E. Liflyand, E. Ostrovsky And L. Sirota

Pages : 207-220

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper we study the multiplicative, tensor, Sobolev and convolution inequalities in certain Banach spaces, the so-called Bilateral Grand Lebesque Spaces. We also give examples to show the sharpness of these inequalities when possible.
Keywords : Grand Lebesgue and rearrangement invariant spaces, Sobolev embedding theorem, convolution operator.