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University of Illinois at Urbana-Champaign
On Certain Maximal Operators On H(p) Classes, 0 Less Than P Less Than or Equal to 1 (Hardy, Fourier)
Abstract
dc:descriptionIn this thesis we give a generalization of a theorem of C. Fefferman and E. M. Stein on maximal operators on the Hardy classes of tempered distributions H('p)((//R)('n)) for 0 < p (LESSTHEQ) 1. Fix p, 0 < p (LESSTHEQ) 1 and let N = n/p-n . Let (phi) (ELEM) C('N)((//R)('n)) have compact support and suppose (phi) satisfies the Dini-type condition
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Hashimi, Jamil Rasool
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8502165
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71227