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- W2891443548 abstract "In the present paper, we establish the boundedness and continuity of the parametric Marcinkiewicz integrals with rough kernels associated to polynomial mapping P as well as the corresponding compound submanifolds, which is defined by Mh,Ω,Pρf(x)=(∫0∞|1tρ∫|y|≤tΩ(y)h(|y|)|y|n-ρf(x-P(y))dy|2dtt)1/2, on the Triebel-Lizorkin spaces and Besov spaces when Ω∈H1(Sn-1) and h∈Δγ(R+) for some γ>1 . Our main results represent significant improvements and natural extensions of what was known previously." @default.
- W2891443548 created "2018-09-27" @default.
- W2891443548 creator A5068917403 @default.
- W2891443548 date "2018-09-04" @default.
- W2891443548 modified "2023-09-24" @default.
- W2891443548 title "A note on Marcinkiewicz integrals supported by submanifolds" @default.
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- W2891443548 doi "https://doi.org/10.1186/s13660-018-1822-8" @default.
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