Sharp Summability of Functions From Orlicz-Sobolev Spaces

Andrea Cianchi ()
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Andrea Cianchi: Università di Firenze, Dipartimento di Matematica e Applicazioni per l’Architettura

A chapter in Function Spaces, Differential Operators and Nonlinear Analysis, 2003, pp 245-254 from Springer

Abstract: Abstract Recent years have witnessed an increasing interest of researchers working on function spaces, and on related fields, about optimal embeddings of Sobolev type, as demonstrated by a number of papers on this topic. One of the ancestors of these kind of results may be considered a sharpened version of the classical Sobolev inequality, independently proved by O’Neil [23] and by Peetre [25], which can be stated as follows. LetG be an open subset of ℝ n ,n> 2, and let Wo l’ P (G), 1

Keywords: Orlicz Space; Equivalent Norm; Lorentz Space; Sobolev Embedding; Range Space (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-0348-8035-0_14

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