Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels

In this article, we study the generalized parabolic parametric Marcinkiewicz integral operators ℳΩ,h,Φ,λ(r){ {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves. Under some weak conditions on the kernels, we establish appropriate estimates of these operators. By...

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Bibliographic Details
Main Authors: Ali Mohammed, Katatbeh Qutaibeh
Format: Article
Language:English
Published: De Gruyter 2020-05-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0004/dema-2020-0004.xml?format=INT