Abstract
In the article, the boundedness of vector-valued sublinear operators in Herz--Morrey spaces with variable exponents $M\dot{K}^{\alpha(\cdot),\lambda}_{q,p(\cdot)}(\mathbb{R}^{n})$ are obtained. Then Herz--Morrey type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, we prove the equivalent quasi-norms on these spaces by Peetre's maximal operators.
Citation
Baohua Dong. Jingshi Xu. "Herz--Morrey type Besov and Triebel-Lizorkin spaces with variable exponents." Banach J. Math. Anal. 9 (1) 75 - 101, 2015. https://doi.org/10.15352/bjma/09-1-7
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