Non-smooth atomic decompositions of anisotropic function spaces and some applications
نویسندگان
چکیده
منابع مشابه
Atomic and Subatomic Decompositions in Anisotropic Function Spaces
This work deals with decompositions in anisotropic function spaces. Defining anisotropic atoms as smooth building blocks which are the counterpart of the atoms from the works of M. Frazier and B. Jawerth, it is shown that the study of anisotropic function spaces can be done with the help of some sequence spaces in a similar way as it is done in the isotropic case. It is also shown that the suba...
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15 صفحه اولErratum to: Atomic and molecular decompositions of anisotropic Besov spaces
We give a corrected proof of Lemma 3.1 in [1]. While the statement of [1, Lemma 3.1] is true, its proof is incorrect. The argument contains a serious defect which can not be easily corrected. The inequality that appears in [1] before (3.5) is not true. If this inequality was true, then we could conclude that, even for a non doubling measure μ, (3.5) was also true. But there exist some non doubl...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2007
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm180-2-6