Can I read Maximal Functions, Littlewood-paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting (Memoirs of the American Mathematical Society, 279) on EtoBox?

Maximal Functions, Littlewood-paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting (Memoirs of the American Mathematical Society, 279) by Yongsheng Han; Ming-Yi Lee; Ji Li; Brett D Wick is a nonfiction available to read on EtoBox.

What is Maximal Functions, Littlewood-paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting (Memoirs of the American Mathematical Society, 279) about?

"In this monograph, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood- Paley square function and area integral, Riesz transforms and the atomic decomposition in the multi-parameter flag setting. The novel ingredients in this paper include (1) establishing appropriate discrete Calderon reproducing formulae in the flag setting and a version of the Plancherel-Polya inequalities for flag quadratic forms; (2) introducing the maximal function and area function via flag Poisson kernels and flag version of harmonic functions; (3) developing an atomic decomposition via the finite speed propagation and area function in terms of flag heat semigroups. As a consequence of these real variable methods, we obtain the full characterisations of the multi-parameter Hardy space with the flag structure"-- Provided by publisher

Who reads Maximal Functions, Littlewood-paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting (Memoirs of the American Mathematical Society, 279)?

Author

Yongsheng Han; Ming-Yi Lee; Ji Li; Brett D Wick

Publisher

American Mathematical Society

Published

2022

Language

EN

ISBN

9781470472276

Category

nonfiction

Subjects

Mathematics, Stem