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

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thesis
posted on 28.03.2022, 13:52 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.

History

Alternative Title

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

Table of Contents

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

Degree Type

Thesis PhD

Degree

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

Department, Centre or School

Department of Mathematics

Year of Award

2015

Principal Supervisor

Xuan Duong

Rights

Copyright Tri Dung Tran 2015. Copyright disclaimer: http://www.copyright.mq.edu.au

Language

English

Extent

1 online resource (xii, 97 pages)

Former Identifiers

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