# Topics on Harmonic analysis and Multilinear Algebra

 Please use this identifier to cite or link to this item: http://hdl.handle.net/2077/39305

Files in This Item:

File Description SizeFormat
 Title: Topics on Harmonic analysis and Multilinear Algebra Authors: Hormozi, Mahdi E-mail: hormozi@chalmers.seme.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--43M. Hormozi, Inclusion of $\Lambda BV^{(p)}$ spaces in the classes $H_{\omega}^{q}$, Journal of Mathematical Analysis and Applications 404(2) 195--200VIEW ARTICLEM. 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--432VIEW ARTICLEM. Hormozi and K. Rodtes, Symmetry classes of tensors associated with the Semi-Dihedral groups $SD_{8n}$, Colloquium Mathematicum (2013) 131(1) 59--67VIEW ARTICLEM. Hormozi and K. Rodtes, Orthogonal bases of Brauer symmetry classes of tensors for certain groups for Dicyclic and Semi-dihedral groups, SubmittedThe 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 variationHelly's theoremModulus of variationGeneralized Wiener classesSymmetry classes of tensorsOrthogonal basisBrauer symmetry classes of tensorsMultilinear singular integralsweighted norm inequalitiesweighted boundslocal mean oscillationLerner'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 universitetDoctoral Theses / Doktorsavhandlingar Institutionen för matematiska vetenskaper