A Note on Multiplication and Composition Operators in Lorentz Spaces

作者:Kwessi Eddy; Alfonso Paul; De Souza Geraldo*; Abebe Asheber
来源:Journal of Function Spaces and Applications, 2012, 293613.
DOI:10.1155/2012/293613

摘要

we revisit the Lorentz spaces L(p, q) for p %26gt; 1, q %26gt; 0 defined by G. G. Lorentz in the nineteen fifties and we show how the atomic decomposition of the spaces L (p, 1) obtained by De Souza in 2010 can be used to characterize the multiplication and composition operators on these spaces. These characterizations, though obtained from a completely different perspective, confirm the various results obtained by S. C. Arora, G. Datt and S. Verma in different variants of the Lorentz Spaces.

  • 出版日期2012

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