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Decreasing Rearrangement and Lorentz L(p,q) Spaces
2002 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

We consider the decreasing rearrangement of a measurable function and we prove some fundamental properties like the Hardy-Littlewood inequality. This notion leads us to the Lorentz L(p,q) spaces which are generalizations of the ordinary L^p spaces. We will introduce a quasi-norm and also a norm on L(p,q) and examine their metrical and topological properties as well as boundedness of the maximal operator and the Hilbert transform.

Place, publisher, year, edition, pages
Keyword [en]
Technology, Matematik, Lorentz spaces
Keyword [sv]
URN: urn:nbn:se:ltu:diva-46980ISRN: LTU-EX--02/321--SELocal ID: 49299fda-6181-4023-827a-b1e44856f5ceOAI: diva2:1020296
Subject / course
Student thesis, at least 30 credits
Educational program
Electrical Engineering, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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