Abstract
Let α ≥ 0 and 0 < ρ ≤ n/2, the boundedness of hypersingular parameterized Marcinkiewicz integrals μ ρΩ, α with variable kernels on Sobolev spaces L p α and Hardy-Sobolev spaces H p α is established.
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Supported by the National Natural Science Foundation of China (10571156; 10871173)
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Chen, Jc., Yu, X., Zhang, Yd. et al. Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces. Appl. Math. J. Chin. Univ. 23, 420–430 (2008). https://doi.org/10.1007/s11766-008-1992-0
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DOI: https://doi.org/10.1007/s11766-008-1992-0