Weighted composition operators between two $L^{p}$-spaces

Authors

  • Rajeev Kumar Department of Mathematics, G. G. M. Science College, Jammu-180 006, J and K-state, INDIA Author

Keywords:

Closed range, compact operator, measurable transformation, weighted composition operator

Subjects:

47B33, 46E30, 47B07, 46B70

Abstract

In this paper, we study the boundedness ofweighted composition operators between two $L^p$-spaces. Wepresent equivalent conditions for the compactness of weightedcomposition operators between two $L^p$-spaces. We also giveequivalent conditions for weighted composition operators withclosed range.

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Published

2009-04-15

Issue

Vol. 61 No. 2 (2009): Vol. 61, Issue 2

Section

Articles

License

Copyright (c) 2009 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.