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arXiv · 1812.11781

Criterion for the coincidence of strong and weak Orlicz spaces

Maria Rosaria Formica·Eugeny Ostrovsky
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Abstract

We provide necessary and sufficient conditions for the coincidence, up to equivalence of the norms, between strong and weak Orlicz spaces. Roughly speaking, this coincidence holds true only for the so-called exponential spaces. We find also the exact value of the embedding constant which appears in the corresponding norm inequality.

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Maria Rosaria Formica, Eugeny Ostrovsky. 2018-12-31. Criterion for the coincidence of strong and weak Orlicz spaces. https://arxiv.org/abs/1812.11781

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