Open Access

Basic properties of Sobolev's spaces on time scales

  • Ravi P Agarwal1Email author,
  • Victoria Otero–Espinar2,
  • Kanishka Perera1 and
  • Dolores R Vivero2
Advances in Difference Equations20062006:038121

DOI: 10.1155/ADE/2006/38121

Received: 18 January 2006

Accepted: 22 January 2006

Published: 28 May 2006


We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue Δ-measure; analogous properties to that valid for Sobolev's spaces of functions defined on an arbitrary open interval of the real numbers are derived.


Authors’ Affiliations

Department of Mathematical Sciences, Florida Institute of Technology
Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela


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© Ravi P. Agarwal et al. 2006

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