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Multiplication and Composition Operators on Weak $$L_p$$ L p Spaces

Multiplication and Composition Operators on Weak $$L_p$$ L p Spaces In a self-contained presentation, we discuss the $$\hbox {Weak}\,L_p$$ Weak L p spaces. Invertible and compact multiplication operators on $$\hbox {Weak}\,L_p$$ Weak L p are characterized. Boundedness of the composition operator on $$\hbox {Weak}\,L_p$$ Weak L p is also characterized. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

Multiplication and Composition Operators on Weak $$L_p$$ L p Spaces

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References (17)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-014-0081-1
Publisher site
See Article on Publisher Site

Abstract

In a self-contained presentation, we discuss the $$\hbox {Weak}\,L_p$$ Weak L p spaces. Invertible and compact multiplication operators on $$\hbox {Weak}\,L_p$$ Weak L p are characterized. Boundedness of the composition operator on $$\hbox {Weak}\,L_p$$ Weak L p is also characterized.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: Dec 10, 2014

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