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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… Click to show full 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.
Keywords:
weak orlicz;
strong weak;
coincidence;
orlicz spaces;
criterion coincidence
Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2021
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Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!