Abstract
In this paper, we establish necessary and sufficient conditions for boundedness of weighted p-adic Hardy operators on p-adic Morrey spaces, p-adic central Morrey spaces and p-adic \(\lambda \)-central BMO spaces, respectively, and obtain their sharp bounds. We also give the characterization of weight functions for which the commutators generated by weighted p-adic Hardy operators and \(\lambda \)-central BMO functions are bounded on the p-adic central Morrey spaces. This result is different from that on Euclidean spaces due to the special structure of p-adic integers.
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The authors would like to express their sincere gratitude to the anonymous referees for their valuable comments and suggestions.
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Communicated by Mohammad Sal Moslehian.
This work was partially supported by NSF of China (Grant Nos. 11271175, 11671185 and 11301248), NSF of Shandong Province (Grant No. ZR2012AQ026) and AMEP of Linyi University.
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Wu, Q.Y., Fu, Z.W. Weighted p-Adic Hardy Operators and Their Commutators on p-Adic Central Morrey Spaces. Bull. Malays. Math. Sci. Soc. 40, 635–654 (2017). https://doi.org/10.1007/s40840-017-0444-5
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DOI: https://doi.org/10.1007/s40840-017-0444-5