Abstract
Let 0 ≤ α < n, Ω be a rough kernel, and let A have derivatives of order m−1 in \(C\dot BMO^{q,\mu _2 }\) with m ≥ 2. We consider a class of generalized commutators T AΩ,α of Cohen-Gosselin type, and obtain the boundedness of T AΩ,α from the central Morrey spaces \(\dot E^{p,\mu _1 }\) to \(\dot E^{r,\lambda }\) for λ = µ1 + µ2 + α/n and 1/r = 1/p + 1/q − α/n.
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The first author is supported by National Natural Science Foundation of China (Grant Nos. 11226104 and 11226109) and Natural Science Foundation of Jiangxi Province (Grant No. 20114BAB211007); the second author is supported by National Natural Science Foundation of China (Grant Nos. 11171306 and 11071065)
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Yu, X., Tao, X.X. Boundedness for a class of generalized commutators on λ-central Morrey space. Acta. Math. Sin.-English Ser. 29, 1917–1926 (2013). https://doi.org/10.1007/s10114-013-2174-4
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DOI: https://doi.org/10.1007/s10114-013-2174-4