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VIDEO LIBRARY |
Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov
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Discrete variant of Morrey spaces. New approach E. I. Berezhnoi P.G. Demidov Yaroslavl State University |
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Abstract: It is well known that for study of specific analysis operators, for example, the Hilbert operator, the Hardy-Littlewood maximal function operator, etc., it is very important to choose the right spaces in which we can describe the various properties of these operators. Recently, the spaces In this report, I'll talk about a new series of spaces containing Morrey spaces. Based on a new approach for this series of spaces, a number of duality, interpolation and extrapolation theorems are proved, and a description of the multiplicator space is obtained. We note that the application of the obtained results to the classical Morrey spaces made it possible to solve several important problems there as well. |