The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents
Functional Analysis
2025-02-21 v1
Abstract
Let a vector-valued sublinear operator satisfy the size condition and be bounded on weighted Lebesgue spaces with variable exponent. Then we obtain its boundedness on weighted grand Herz-Morrey spaces with variable exponents. Next we introduce weighted grand Herz-Morrey-Triebel-Lizorkin spaces with variable exponents and provide their equivalent quasi-norms via maximal functions.
Keywords
Cite
@article{arxiv.2502.14015,
title = {The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents},
author = {Shengrong Wang and Pengfei Guo and Jingshi Xu},
journal= {arXiv preprint arXiv:2502.14015},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2502.13848