Maximal operators along surfaces of revolution Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/pg15bh122

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • The study of differentiation of integrals has led to the study of maximal functions. In the development of harmonic analysis, the most powerful result connected with Lebesgue's theorem was that of the Hardy-Littlewood Maximal Theorem. This maximal theorem implies Lebesgue's theorem, and the maximal function and its variants have played an important role in many areas of harmonic analysis such as singular integral operators, Hardy spaces, BMO (bounded mean oscillation) spaces. One of the variants of the maximal function is the maximal function along hypersurfaces. In this dissertation, we will investigate the boundedness of the maximal function along surfaces of revolution in Euclidean spaces. Following the Calderon- Zygmund method of rotation, we shall further investigate its boundedness in Lebesgue mixed norm spaces.
Resource Type
Date Available
Date Copyright
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Committee Member
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces
Additional Information
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-07-20T21:32:25Z (GMT) No. of bitstreams: 1 LeHungViet2000.pdf: 297980 bytes, checksum: 95c3667efebc5a50810c11ccbd752802 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-07-20T21:30:56Z (GMT) No. of bitstreams: 1 LeHungViet2000.pdf: 297980 bytes, checksum: 95c3667efebc5a50810c11ccbd752802 (MD5)
  • description.provenance : Made available in DSpace on 2010-07-20T21:32:25Z (GMT). No. of bitstreams: 1 LeHungViet2000.pdf: 297980 bytes, checksum: 95c3667efebc5a50810c11ccbd752802 (MD5)
  • description.provenance : Submitted by Eric Hepler (ehscanner@gmail.com) on 2010-07-20T00:24:04Z No. of bitstreams: 1 LeHungViet2000.pdf: 297980 bytes, checksum: 95c3667efebc5a50810c11ccbd752802 (MD5)

Relationships

Parents:

This work has no parents.

Last modified

Downloadable Content

Download PDF

Items