Module of continuity for the functions belonging to the Sobolev-Grand Lebesgue Spaces

Details Module of continuity for the functions belonging to the Sobolev-Grand Lebesgue Spaces Module of continuity for the functions belonging to the Sobolev-Grand Lebesgue Spaces

2010-06-21

arxiv.org/abs/1006.4177v1

Mathematics

Functional Analysis

Scientific paper

In this short article we generalize the Sobolev's inequalities for the module
of continuity for the functions belonging to the classical Lebesgue space on
the (Bilateral) Grand Lebesgue spaces. We construct also some examples in order
to show the exactness of obtained results.

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