Note
Includes bibliography.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
2014
EDTF Date Created
2014
Description
Assume that {φn} is an orthonormal uniformly bounded (ONB) sequence of complex-valued functions de ned on a measure space (Ω,Σ,µ), and f ∈ L1(Ω,Σ,µ). Let
be the Fourier coefficients of f with respect to {φn} .
R.E.A.C. Paley proved a theorem connecting the Lp-norm of f with a related norm of the sequence {cn}. Hardy and Littlewood subsequently proved that Paley’s result is best possible within its context. Their results were generalized by Dikarev, Macaev, Askey, Wainger, Sagher, and later by Tikhonov, Li yand, Booton and others.The present work continues the generalization of these results.
be the Fourier coefficients of f with respect to {φn} .
R.E.A.C. Paley proved a theorem connecting the Lp-norm of f with a related norm of the sequence {cn}. Hardy and Littlewood subsequently proved that Paley’s result is best possible within its context. Their results were generalized by Dikarev, Macaev, Askey, Wainger, Sagher, and later by Tikhonov, Li yand, Booton and others.The present work continues the generalization of these results.
Language
Type
Form
Extent
72 p.
Subject (Topical)
Identifier
FA00004290
Additional Information
Includes bibliography.
Dissertation (Ph.D.)--Florida Atlantic University, 2014.
FAU Electronic Theses and Dissertations Collection
Date Backup
2014
Date Created Backup
2014
Date Text
2014
Date Created (EDTF)
2014
Date Issued (EDTF)
2014
Extension
FAU
IID
FA00004290
Organizations
Attributed name: Florida Atlantic University
Attributed name: Charles E. Schmidt College of Science
Attributed name: Department of Mathematical Sciences
Person Preferred Name
Grigoriev, Stepan M.
author
Graduate College
Physical Description
application/pdf
72 p.
Title Plain
General monotonicity, interpolation of operators, and applications
Use and Reproduction
Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
http://rightsstatements.org/vocab/InC/1.0/
Origin Information
2014
2014
Florida Atlantic University
Boca Raton, Fla.
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
General monotonicity, interpolation of operators, and applications
Other Title Info
General monotonicity, interpolation of operators, and applications