Weighted composition operators on Orlicz�Sobolev spaces

• Autores: Subhash C. Arora, Gopal Datt, Satish Verma
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 83, Nº 3, 2007, págs. 327-334
• Idioma: inglés
• DOI: 10.1017/s1446788700037952
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• Resumen

  • For an open subset of the Euclidean space Rn, a measurable non-singular transformation T:and a real-valued measurable function u on Rn, we study the weighted composition operator uCT:fu(fT) on the Orlicz�Sobolev space W1() consisting of those functions of the Orlicz space L() whose distributional derivatives of the first order belong to L(). We also discuss a sufficient condition under which uCT is compact.