Generalized Morrey Spaces for Non-doubling Measures
نویسندگان
چکیده
منابع مشابه
Morrey spaces for non-doubling measures
We give a natural definition of the Morrey spaces for Radon measures which may be non-doubling but satisfy the growth condition. In these spaces we investigate the behavior of the maximal operator, the fractional integral operator, the singular integral operator and their vector-valued extensions.
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In this paper the boundedness for a large class of multisublinear operators is established on product generalized Morrey spaces with non-doubling measures. As special cases, the corresponding results for multilinear Calderón-Zygmund operators, multilinear fractional integrals and multi-sublinear maximal operators will be obtained.
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In this paper under some growth condition we investigate the connection between RBMO and the Morrey spaces. We do not assume the doubling condition which has been a key property of harmonic analysis. We also obtain another type of equivalent norms.
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In this paper we consider the vector-valued extension of the Fefferman-Stein-Stronberg sharp maximal inequality under growth condition. As an application we obtain the vectorvalued extension of the boundedness of the commutator. Furthermore we prove the boundedness of the commutator.
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The authors consider the multilinear Riesz potential operator defined by Iα,m − → f x ∫ Rd m f1 y1 f2 y2 · · · fm ym /| x−y1, . . . , x−ym |mn−α dμ y1 · · ·dμ ym , where − → f denotes themtuple f1, f2, . . . , fm , m,n the nonnegative integers with n ≥ 2, m ≥ 1, 0 < α < mn, and μ is a nonnegative n-dimensional Borel measure. In this paper, the boundedness for the operator Iα,m on the product of...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2008
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-008-6032-5