Lp-boundedness of flag kernels on homogeneous groups - Mathematics > Functional AnalysisReport as inadecuate




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Abstract: We prove that the flag kernel singular integral operators ofNagel-Ricci-Stein on a homogeneous group are bounded on the Lp spaces. Thegradation associated with the kernels is the natural gradation of theunderlying Lie algebra. Our main tools are the Littlewood-Paley theory and asymbolic calculus combined in the spirit of Duoandikoetxea and Rubio deFrancia.



Author: Pawel Glowacki

Source: https://arxiv.org/







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