Abstract
In this paper, the authors define the weak Herz spaces and the weak Herz-type Hardy spaces with variable exponent. As applications, the authors establish the boundedness for a class of singular integral operators including some critical cases.
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Acknowledgements
The authors are very grateful to the referees for their valuable comments. This work was supported by National Natural Science Foundation of China (Grant Nos. 11926343, 11926342, 11761026 and 11671397), Shandong Provincial Natural Science Foundation (Grant No. ZR2017MA041) and Project of Shandong Province Higher Educational Science and Technology Program (Grant No. J18KA225).
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Communicated by Pedro Tradacete.
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Wang, H., Liu, Z. Boundedness of singular integral operators on weak Herz type spaces with variable exponent. Ann. Funct. Anal. 11, 1108–1125 (2020). https://doi.org/10.1007/s43034-020-00075-9
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DOI: https://doi.org/10.1007/s43034-020-00075-9