International Journal of Functional Analysis, Operator Theory and Applications
Volume 11, Issue 2, Pages 57 - 70
(December 2019)
http://dx.doi.org/10.17654/FA011020057 |
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REAL AND LINEAR INTERPOLATION OF OPERATORS
Traoré Lassane, Cathérine Charles and N’gohissé Konan Firmin
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Abstract:
In this paper, we prove a classical result of operators: the Marcinkiewicz interpolation theorem. Besides, an application to a linear operator such as the Hilbert transform is also presented. |
| Keywords and phrases: Hilbert transform, Lp spaces, Marcinkiewicz theorem, operators interpolation, real interpolation.
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