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 also find the exact value of the embedding constant which appears in the corresponding norm inequality.

CRITERION FOR THE COINCIDENCE OF STRONG AND WEAK ORLICZ SPACES

Formica, MR
;
2021-01-01

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 also find the exact value of the embedding constant which appears in the corresponding norm inequality.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11367/99655
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