Clifford Analysis on Orlicz-Sobolev Spaces

2014/09/30 by Dejenie Alemayehu Lakew, Lakew, Dejenie Alemayehu, Mulugeta Alemayehu Dagnaw +1
Mathematics · #30A05 #35G15 #46E35 #46F15 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:30A05 #msc:35G15 #msc:46E35 #msc:46F15

paper · pdf · doi:10.48550/arxiv.1409.8380

A 12 pages articles on Clifford analysis over Orlicz-Sobolev-Slobodeckji spaces

arxiv created 2014/09/30 · arxiv updated 2014/10/01

Abstract

In this article we develop few of the analogous theoretical results of Clifford analysis over Orlicz-Sobolev spaces and study mapping properties of the Dirac operator and the Teodorescu transform over these function spaces. We also get analogous decomposition results of Clifford valued Orlicz spaces and the generalized Orlicz-Sobolev spaces.

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