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

Heo Yaryong<sup>*</sup>

doi:10.1007/s00020-016-2328-8

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

作者：Heo Yaryong^*

来源：Integral Equations and Operator Theory, 2016, 86(2): 185-208.

DOI：10.1007/s00020-016-2328-8

摘要

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 -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.