منابع مشابه
Another Proof of Characterization of Bmo via Banach Function Spaces
Our aim is to give a characterization of the BMO norm via Banach function spaces based on the Rubio de Francia algorithm. Our proof is different from the one by Ho [Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces, Anal. Math. 38 (2012), 173–185].
متن کاملA Characterization of Product BMO by Commutators
Here R+ denotes the upper half-plane and BMO(R 2 +×R 2 +) is defined to be the dual of the realvariable Hardy space H on the product domain R+×R 2 +. There are several equivalent ways to define this latter space and the reader is referred to [5] for the various characterizations. We will be more interested in the biholomorphic analogue of H, which can be defined in terms of the boundary values ...
متن کاملOf Another Characterization Of
Stepr¯ ans provided a characterization of βN \ N in the ℵ 2-Cohen model that is much in the spirit of Parovičenko's characterization of this space under CH. A variety of the topological results established in the Cohen model can be deduced directly from the properties of βN \ N or P(N)/fin that feature in Stepr¯ ans' result.
متن کاملOn the John-strömberg Characterization of Bmo for Nondoubling Measures
A well known result proved by F. John for 0 < λ < 1/2 and by J.-O. Strömberg for λ = 1/2 states that ‖f‖BMO(ω) sup Q inf c∈R inf{α > 0 : ω{x ∈ Q : |f(x)− c| > α} < λω(Q)} for any measure ω satisfying the doubling condition. In this note we extend this result to all absolutely continuous measures. In particular, we show that Strömberg’s “1/2-phenomenon” still holds in the nondoubling case. An im...
متن کاملAnother Characterization of Trees
It is proved that a continuum is a tree if and only if each two connected subsets meet in a connected set. In this note a continuum is a compact connected Hausdorff space. A tree is a continuum in which distinct points are never conjugate [6], i.e., any two distinct points are separated by the deletion of some third point. A dendrite is a metrizable tree. The literature is replete with characte...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1980
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1980-0565349-8