English

Embeddings between grand, small and variable Lebesgue spaces

Classical Analysis and ODEs 2017-06-20 v1

Abstract

We give conditions on the exponent function p()p(\cdot) that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that our results are close to optimal. Our work extends recent results by the second author, Rakotoson and Sbordone.

Keywords

Cite

@article{arxiv.1706.05722,
  title  = {Embeddings between grand, small and variable Lebesgue spaces},
  author = {David Cruz-Uribe and Alberto Fiorenza and Oscar Guzman},
  journal= {arXiv preprint arXiv:1706.05722},
  year   = {2017}
}

Comments

Final version to appear in Math. Notes

R2 v1 2026-06-22T20:22:10.705Z