arXiv Open Access 2018

Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications

The Anh Bui Xuan Thinh Duong Fu Ken Ly

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Abstrak

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, Schrödinger operators with Dirichlet boundary conditions, and Fourier--Bessel operators.

Topik & Kata Kunci

math.CA

Penulis (3)

The Anh Bui

Xuan Thinh Duong

Fu Ken Ly

Format Sitasi

APA MLA BibTeX

Bui, T.A., Duong, X.T., Ly, F.K. (2018). Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications. https://arxiv.org/abs/1804.01347

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓