Abstract
In this paper, the multiple parametric Marcinkiewicz integral operators with mixed homogeneity along surfaces are studied. The Lp-mapping properties for such operators are obtained under the rather weakened size conditions on the integral kernels both on the unit sphere and in the radial direction. The main results essentially improve and extend certain previous results.
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Supported by the National Natural Science Foundation of China(12071437), and the Natural Science Foundation of Zhejiang Province, China(LQ22A010018).
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Shen, Jw., He, Sy. & Chen, Jc. Multiple parametric Marcinkiewicz integrals with mixed homogeneity along surfaces. Appl. Math. J. Chin. Univ. 38, 413–428 (2023). https://doi.org/10.1007/s11766-023-4444-y
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DOI: https://doi.org/10.1007/s11766-023-4444-y