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Topics on Harmonic analysis and Multilinear Algebra


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Title: Topics on Harmonic analysis and Multilinear Algebra
Authors: Hormozi, Mahdi
E-mail: hormozi@chalmers.se
me.hormozi@gmail.com
Issue Date: 23-Sep-2015
University: Göteborgs universitet. Naturvetenskapliga fakulteten
Institution: Department of Mathematical Sciences ; Institutionen för matematiska vetenskaper
Parts of work: M. Hormozi, A. A. Ledari and F. Prus-Wi\'{s}niowski, On $p −\Lambda−$ bounded variation, Bulletin of the IMS. Vol.37 No.4(2011),pp 29--43

M. Hormozi, Inclusion of $\Lambda BV^{(p)}$ spaces in the classes $H_{\omega}^{q}$, Journal of Mathematical Analysis and Applications 404(2) 195--200
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M. Hormozi, F. Prus-Wi\'{s}niowski and H. Rosengren, Inclusions of Waterman-Shiba spaces into generalized Wiener classes, Journal of Mathematical Analysis and Applications 419(1) (2014) 428--432
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M. Hormozi and K. Rodtes, Symmetry classes of tensors associated with the Semi-Dihedral groups $SD_{8n}$, Colloquium Mathematicum (2013) 131(1) 59--67
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M. Hormozi and K. Rodtes, Orthogonal bases of Brauer symmetry classes of tensors for certain groups for Dicyclic and Semi-dihedral groups, Submitted

The Anh Bui, M. Hormozi, Weighted bounds for multilinear square functions, Submitted
Date of Defence: 2015-10-22
Disputation: Thursday 22th of October 2015, at 13:15 in room Pascal, Department of Mathematical Sciences, Chalmers Tvärgata 3
Degree: Doctor of Philosophy
Publication type: Doctoral thesis
Keywords: Generalized bounded variation
Helly's theorem
Modulus of variation
Generalized Wiener classes
Symmetry classes of tensors
Orthogonal basis
Brauer symmetry classes of tensors
Multilinear singular integrals
weighted norm inequalities
weighted bounds
local mean oscillation
Lerner's formula
Abstract: The present thesis consists of six different papers. Indeed, they treat three different research areas: function spaces, singular integrals and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate... more
ISBN: 978-91-628-9450-8
URI: http://hdl.handle.net/2077/39305
Appears in Collections:Doctoral Theses from University of Gothenburg / Doktorsavhandlingar från Göteborgs universitet
Doctoral Theses / Doktorsavhandlingar Institutionen för matematiska vetenskaper

 

 

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