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 TitleMusielak-Orlicz Hardy spaces, weighted Morrey spaces and boundedness of operators
Table of Contents1. 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.
NotesIncludes bibliographical references
Awarding InstitutionMacquarie University
Degree TypeThesis PhD
DegreePhD, Macquarie University, Faculty of Science and Engineering, Department of Mathematics
Department, Centre or SchoolDepartment of Mathematics
Year of Award2015
Principal SupervisorXuan Duong
RightsCopyright Tri Dung Tran 2015.
Copyright disclaimer: http://www.copyright.mq.edu.au
Extent1 online resource (xii, 97 pages)