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ЖУРНАЛЫ // Proceedings of Institute of Mathematics and Mechanics of the Azerbaijan National Academy of Sciences // Архив

Proc. Inst. Math. Mech. of Azerbaijan. Ser. Phys.-Tech. Math. Sci., 2014, том 40, выпуск 1, страницы 3–13 (Mi pazan93)

Morrey-type Banach spaces, maximal operator and Fourier multipliers

V. S. Gulieva, Zhijian Wub, Ying Xiaoc

a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
b Department of Mathematics, University of Alabama at Tuscaloosa
c China University of Political Science and Law

Аннотация: Let $({\mathcal F},\norm{\cdot}_{{\mathcal F}})$ be a Banach space of complex-valued measurable functions on $\Rnn$. In this paper, we consider the Morrey-type Banach space ${\mathcal M}_ {\mathcal F}(p,\lambda)$ as well as its weak type ${\mathcal M}_{\mathcal F}^*(1,\lambda)$. We develop the theory of maximal operator and Fourier multipliers on these spaces.

MSC: Primary 42B25; Secondary 31C15

Язык публикации: английский



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