MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Weighted composition operators between two $L^{p}$-spaces
Rajeev Kumar

Abstract

In this paper, we study the boundedness of weighted composition operators between two $L^p$-spaces. We present equivalent conditions for the compactness of weighted composition operators between two $L^p$-spaces. We also give equivalent conditions for weighted composition operators with closed range.

Creative Commons License

Keywords: Closed range; compact operator; measurable transformation; weighted composition operator.

MSC: 47B33, 46E30, 47B07, 46B70

Pages:  111$-$118     

Volume  61 ,  Issue  2 ,  2009