Results 21 to 30 of about 90,447 (280)
FUNCTIONS OF BOUNDED (φ, ρ) MEAN OSCILLATION
In this paper we extend a result of Garnett and Jones to the case of spaces of homogeneous type.
René Erlín Castillo+2 more
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An embedding relation for bounded mean oscillation on rectangles [PDF]
In the two-parameter setting, we say a function belongs to the mean little $BMO$, if its mean over any interval and with respect to any of the two variables has uniformly bounded mean oscillation. This space has been recently introduced by S. Pott and the author in relation with the multiplier algebra of the product $BMO$ of Chang-Fefferman.
Benoît F. Sehba
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Bounded Mean Oscillation on the Bidisk and Operator BMO
The authors study the BMO spaces in two variables as operator valued BMO functions in one variable and give strict inclusions in the BMO scale. In particular, it is shown that there exists a symbol \(b\) defined on the bidisk such that the little Hankel operator \(\gamma_b=P^\bot_1 P_2^\bot b P_2^\bot P_1^\bot\) is bounded on the set of all products of
Sandra Pott, Cora Sadosky
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On the composition of functions of bounded mean oscillation with meromorphic functions [PDF]
Let \(\Omega_ 1\) and \(\Omega_ 2\) be domains in the complex plane \(\mathbb{C}\). A function \(g: \Omega_ 1\to\Omega_ 2\) is said to preserve BMO, if for every \(f\in\text{BMO}(\Omega_ 2)\), the composition \(f\circ g\in\text{BMO}(\Omega_ 1)\). It is known that quasi-conformal mappings preserve BMO.
Yasuhiro Gotoh
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Integral means, bounded mean oscillation, and Gel′fer functions [PDF]
A Gelfer function f f is a holomorphic function in the unit disc D = { z : | z | > 1 } D = \{ z:|z| > 1\} such that f ( 0 ) = 1 f(0) = 1 and
Daniel Girela
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Fractional maximal functions and mean oscillation on bounded doubling metric measure spaces [PDF]
Ryan Gibara, Josh Kline
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An embedding relation for bounded mean oscillation on rectangles [PDF]
In the two-parameter setting, we say a function belongs to the mean little $BMO$, if its mean over any interval and with respect to any of the two variables has uniformly bounded mean oscillation. This space has been recently introduced by S.
Benoît F. Sehba
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Gel′fer functions, integral means, bounded mean oscillation, and univalency [PDF]
A Gelfer function f f is a holomorphic function in D = { | z | > 1 } D = \{ \left | z \right | > 1\} such that f ( 0 ) = 1 f(0) = 1 and f ( z
Shinji Yamashita
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Bounded functions of vanishing mean oscillation on compact metric spaces
Consider a metric space \((X,\,\rho)\) with a doubling measure \(\mu\). Generalizing a classical result due to \textit{T. H. Wolff} [Duke Math. J. 49, 321--328 (1982; Zbl 0494.30042)], the author proves that for every \(f\in L^{\infty}(\mu)\) there exists \(\eta\in VMO(X,d,\mu)\) such that \(0\leq\eta\leq 1\), \(\log\eta\in VMO(X,d,\mu)\), and \(\eta f\
Jingbo Xia
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Univalence and bounded mean oscillation. [PDF]
Albert Baernstein
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