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arXiv · 2502.14015

The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents

Shengrong Wang·Pengfei Guo·Jingshi Xu
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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.

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Shengrong Wang, Pengfei Guo, Jingshi Xu. 2025-02-19. The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents. https://arxiv.org/abs/2502.14015

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