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Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications by Bui, The Anh; Duong, Xuan Thinh; Ly, Fu Ken is a scholarly article available to read on EtoBox.

What is Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications about?

We prove nontangential and radial maximal function characterizations for Hardy spaces associated to a non-negative self-adjoint operator satisfying Gaussian estimates on a space of homogeneous type with finite measure. This not only addresses an open point in the literature, but also gives a complete answer to the question posed by Coifman and Weiss in the case of finite measure. We then apply our results to give maximal function characterizations for Hardy spaces associated to second order elliptic operators with Neumann and Dirichlet boundary conditions, Schr\"odinger operators with Dirichlet boundary conditions, and Fourier--Bessel operators.

Author

Bui, The Anh; Duong, Xuan Thinh; Ly, Fu Ken

Published

2018

Language

EN