Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity
Abstract For two variable Lebesgue spaces and , with , we provide necessary and sufficient conditions under which the natural embeddings are strictly or finitely strictly singular. We also provide estimates for the Bernstein numbers of the natural embedding and show how they depend on the exponents and .
Authors
- Aleš Nekvinda (ORCID: https://orcid.org/0000-0001-6303-5882)
- Ján Lang (ORCID: https://orcid.org/0000-0003-1582-7273)
Institutions
- Czech Technical University in Prague (CZ)
- The Ohio State University (US)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2025-08-04
- DOI
- https://doi.org/10.1002/mana.12031
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Grantová Agentura České Republiky