English

Relations between Lorentz-Zygmund and Grand Lebesgue Spaces and norms

Functional Analysis 2022-12-26 v2

Abstract

We establish imbedding properties between Grand Lebesgue Spaces and (generalized) Lorentz-Zygmund ones. We extend some known previous results concerning imbedding theorems between Grand Lebesgue and classical Lebesgue-Riesz spaces and we show the exactness of the obtained estimates.

Keywords

Cite

@article{arxiv.2212.08938,
  title  = {Relations between Lorentz-Zygmund and Grand Lebesgue Spaces and norms},
  author = {Maria Rosaria Formica and Eugeny Ostrovsky and Leonid Sirota},
  journal= {arXiv preprint arXiv:2212.08938},
  year   = {2022}
}