Year: 2024
Journal of Mathematical Study, Vol. 57 (2024), Iss. 2 : pp. 164–177
Abstract
In this paper, we consider the boundedness and compactness of the multilinear singular integral operator on Morrey spaces, which is defined by TAf(x)=p.v.∫RnΩ(x−y)|x−y|n+1R(A;x,y)f(y)dy, where R(A;x,y)=A(x)−A(y)−∇A(y)·(x−y) with DβA∈BMO(Rn) for all |β|=1. We prove that TA is bounded and compact on Morrey spaces Lp,λ(Rn) for all 1<p<∞ with Ω and A satisfying some conditions. Moreover, the boundedness and compactness of the maximal multilinear singular integral operator TA,∗ on Morrey spaces are also given in this paper.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v57n2.24.03
Journal of Mathematical Study, Vol. 57 (2024), Iss. 2 : pp. 164–177
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Multilinear operator compactness rough kernel Morrey space.