In this paper we are concerned with the pointwise behaviour of functions in certain classes of weakly differentiable functions. We focus on first order Orlicz-Sobolev spaces and we establish optimal theorems of Rademacher type and of approximate differentiability type in this setting.

Differentiability properties of Orlicz-Sobolev functions

Alberico A;
2005

Abstract

In this paper we are concerned with the pointwise behaviour of functions in certain classes of weakly differentiable functions. We focus on first order Orlicz-Sobolev spaces and we establish optimal theorems of Rademacher type and of approximate differentiability type in this setting.
2005
Istituto Applicazioni del Calcolo ''Mauro Picone''
Orlicz-Sobolev spaces
Lebesgue points
Pointwise differentiability
Approximate differentiability.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/161648
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