LUSIN AREA FUNCTION AND MOLECULAR CHARACTERIZATIONS OF MUSIELAK–ORLICZ HARDY SPACES AND THEIR APPLICATIONS
نویسندگان
چکیده
منابع مشابه
Radial maximal function characterizations of Hardy spaces on RD-spaces and their applications
Let X be an RD-space with μ(X ) = ∞, which means that X is a space of homogeneous type in the sense of Coifman and Weiss and its measure has the reverse doubling property. In this paper, we characterize the atomic Hardy spaces H at(X ) of Coifman and Weiss for p ∈ (n/(n + 1), 1] via the radial maximal function, where n is the “dimension” of X , and the range of index p is the best possible. Thi...
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An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds. The authors prove that for a space of homogeneous type X having “dimension” n, there exists a p0 ∈ (n/(n+ 1), 1) such that for certain classes of distributions, the L(X ) quasi-norms of their radial maximal functions and grand maximal functions are ...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2013
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199713500296