Results 21 to 30 of about 70,030 (299)
FUNCTIONS OF BOUNDED MEAN OSCILLATION [PDF]
Taiwanese Journal of Mathematics, 2006 $BMO$, the space of functions of bounded mean oscillation, was first introduced by F. John and L. Nirenberg in 1961. It became a focus of attention when C. Fefferman proved that $BMO$ is the dual of the (real) Hardy space $H^1$ in 1971. In the past 30 years, this space was studied extensively by many mathematicians.
Chang, Der-Chen, Sadosky, Cora
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Characterisations for analytic functions of bounded mean oscillation [PDF]
Bulletin of the Australian Mathematical Society, 1992 Let α > 0 and let f[α](z) be the αth fractional derivative of an analytic function f on the unit disc D. In this paper we show that f ∈ BMOA if and only if |f[α](z)|2 (l - |z|2)2α−1dA(z) is a Carleson measure and f ∈ VMOA if and only if |f[α](z)|2 (1 − |z|2)2α−1dA(z) is a vanishing Carleson measure, where A denotes the normalised Lebesgue measure on
Jie Miao
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Pointwise multipliers for functions of bounded mean oscillation [PDF]
Journal of the Mathematical Society of Japan, 1985 We characterize the set of pointwise multipliers on bmo\({}_{\phi}({\mathbb{R}}^ n)\), which generalizes the corresponding theorem by \textit{S. Janson} in the torus case [Ark. Mat. 14, 189-196 (1976; Zbl 0341.43005)]. To be more precise, let \(\phi\) (r) be a nondecreasing concave function on the positive real line, and \[ w(x,r)=\phi (r)/(|\int^{1}_ ...
Eiichi Nakai, Kôzô Yabuta
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Characterizations of bounded mean oscillation [PDF]
Bulletin of the American Mathematical Society, 1971 Charles Fefferman
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On the John–Nirenberg inequality
Journal of Inequalities and Applications, 2020 We present a version of the John–Nirenberg inequality for a sub-class of BMO by estimating the corresponding mean oscillating distribution function via dyadic decomposition.
Hee Chul Pak
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Some properties of functions with bounded mean oscillation [PDF]
Studia Mathematica, 1977 Umberto Neri
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Carleson measure and balayage [PDF]
, 2009 The balayage of a Carleson measure lies of course in the space of functions of bounded mean oscillation (BMO). We show that the converse statement is false. We also make a two-sided estimate of the Carleson norm of a positive measure in terms of <i>
Pott, Sandra, Volberg, Alexander
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AIMS Mathematics, 2023 In this paper, we study nonnegative weak solutions of the quasilinear elliptic equation $ \text{div}(A(x, u, \nabla u)) = B(x, u, \nabla u) $, in a bounded open set $ \Omega $, whose coefficients belong to a generalized Morrey space.
Nicky K. Tumalun +4 more
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Invertibility and Fredholm Property of Fock Toeplitz Operators
Mathematics, 2023 We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
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Journal of Inequalities and Applications, 2019 Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki +2 more
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