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# A study of Musielak-Orlicz Hardy spaces, weighted Morrey spaces and boundedness of operators

thesis
posted on 28.03.2022, 13:52 authored by Tri Dung Tran
The main aim of this thesis is to study Musielak-Orlicz Hardy spaces associated with certain operators and to investigate generalized weighted Hardy-Cesàro operators and their commutators on weighted Morrey spaces. The main results of the thesis are presented in the last three chapters.

## Alternative Title

Musielak-Orlicz Hardy spaces, weighted Morrey spaces and boundedness of operators

1. Introduction -- 2. Preliminaries -- 3. Musielak-Orlicz Hardy spaces associated with divergence form elliptic operators -- 4. Musielak-Orlicz Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus -- 5. Generalized weighted Hardy-Cesàro operators and their commutators on weighted Morrey spaces -- References.

## Notes

Includes bibliographical references

## Awarding Institution

Macquarie University

Thesis PhD

## Degree

PhD, Macquarie University, Faculty of Science and Engineering, Department of Mathematics

## Department, Centre or School

Department of Mathematics

2015

Xuan Duong

English

## Extent

1 online resource (xii, 97 pages)

## Former Identifiers

mq:42384 http://hdl.handle.net/1959.14/1052782

## Exports

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