Abstract
Based on the theory of variable exponents and atomic decomposition, we study the boundedness of -dimensional fractional Hardy operators on variable Herz and Herz-type Hardy spaces, where the three main indices are variable exponents. The corresponding boundedness for the th order commutators generated by the -dimensional fractional Hardy operators and bounded mean oscillation (BMO) function are also considered. We note that, even in the special case of , the obtained results are also new.
Citation
Liwei Wang. Meng Qu. Wenyu Tao. "On -dimensional fractional Hardy operators and commutators in variable Herz-type spaces." Kyoto J. Math. 59 (2) 419 - 439, June 2019. https://doi.org/10.1215/21562261-2019-0011
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