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 operatorsTable 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 referencesAwarding Institution
Macquarie UniversityDegree Type
Thesis PhDDegree
PhD, Macquarie University, Faculty of Science and Engineering, Department of MathematicsDepartment, Centre or School
Department of MathematicsYear of Award
2015Principal Supervisor
Xuan DuongRights
Copyright Tri Dung Tran 2015.
Copyright disclaimer: http://www.copyright.mq.edu.auLanguage
EnglishExtent
1 online resource (xii, 97 pages)Former Identifiers
mq:42384
http://hdl.handle.net/1959.14/1052782
