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arXiv · 1301.0132

Continuity of functions belonging to the fractional order Sobolev-Grand Lebesgue Spaces

E. Ostrovsky·L. Sirota
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Abstract

We extend in this article the classical Sobolev inequalities for the module of continuity for the functions belonging to the integer order Sobolev's space on the Sobolev-Bilateral Grand Lebesgue spaces. As a consequence, we deduce the fractional Orlicz-Sobolev imbedding theorems and investigate the rectangle module of continuity of non-Gaussian multiparameter random fields.

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E. Ostrovsky, L. Sirota. 2013-01-01. Continuity of functions belonging to the fractional order Sobolev-Grand Lebesgue Spaces. https://arxiv.org/abs/1301.0132

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