Multi-Parameter Maximal Operators Associated with Finite Measures and Arbitrary Sets of Parameters

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    2 Citations (Scopus)

    Abstract

    In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the Lp-boundedness properties of the multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters by assuming some Fourier decay and a certain geometric condition.

    Original languageEnglish
    Pages (from-to)185-208
    Number of pages24
    JournalIntegral Equations and Operator Theory
    Volume86
    Issue number2
    DOIs
    Publication statusPublished - 2016 Oct 1

    Bibliographical note

    Funding Information:
    This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology NRF-2015R1A1A1A05001304.

    Publisher Copyright:
    © 2016, Springer International Publishing.

    ASJC Scopus subject areas

    • Analysis
    • Algebra and Number Theory

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