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This paper is devoted to studying the boundedness and compactness of commutators for Marcinkiewicz integrals with rough kernels in weighted Lebesgue spaces. The characterized theorems on the boundedness and compactness… Click to show full abstract
This paper is devoted to studying the boundedness and compactness of commutators for Marcinkiewicz integrals with rough kernels in weighted Lebesgue spaces. The characterized theorems on the boundedness and compactness for such commutators are established, respectively. We improve and extend the previous results. Meanwhile, the quantitative weighted bounds for the commutator of Marcinkiewicz integral is also obtained.
Keywords:
kernels weighted;
weighted lebesgue;
marcinkiewicz integrals;
integrals rough;
rough kernels;
commutators marcinkiewicz
Journal Title: Analysis Mathematica
Year Published: 2020
Link to full text (if available)
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Journal Title: Analysis Mathematica
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!