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Norm On The Variable Mixed Space $ \ell^{q(\cdot)}(L^{p(\cdot)}) $

Functional Analysis 2025-08-04 v1

Abstract

This paper aims to establish the norm properties of the variable mixed space q()(Lp()) \ell^{q(\cdot)}(L^{p(\cdot)}) when 1<q,p,q+,p+< 1<q_-,p_-,q_+,p_+<\infty . In this way, we address the open problem raised by Almeida and H\"{a}st\"{o}.

Keywords

Cite

@article{arxiv.2508.00001,
  title  = {Norm On The Variable Mixed Space $ \ell^{q(\cdot)}(L^{p(\cdot)}) $},
  author = {Reza Roohi Seraji},
  journal= {arXiv preprint arXiv:2508.00001},
  year   = {2025}
}

Comments

3 pages

R2 v1 2026-07-01T04:28:18.288Z