On local fractal functions in banach spaces

descriptionPublicationkeyboard_double_arrow_right Article , Conference object , Other literature type 01 Jan 2015 Germany Publisher:AIP Publishing LLCJournal:AIP Conference Proceedings, volume 1,648, page 640,002 (issn: 0094-243X,

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Authors: Massopust, P.;

doi: 10.1063/1.4912866 , 10.13140/2.1.5093.6969

On local fractal functions in banach spaces

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Abstract

We give a short introduction to local fractal functions defined on several classes of Banach spaces. The emphasis is on the Banach space of bounded functions B, the Lebesgue spaces Lp, 1 ≤ p ≤ ∞, and the Sobolev spaces Wn,p, n ∈ N0and 1 ≤ p ≤ ∞.

Country

Germany

Related Organizations

Technical University of Munich
Germany
Helmholtz Zentrum München
Germany

Keywords

Attractor ; Fractal Interpolation ; Iterated Function System (ifs) ; Lebesgue Spaces ; Local Fractal Function ; Local Iterated Function System ; Read-bajraktarević Operator ; Sobolev Spaces

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