Results 21 to 30 of about 90,447 (280)

FUNCTIONS OF BOUNDED (φ, ρ) MEAN OSCILLATION

open access: goldProyecciones (Antofagasta), 2008
In this paper we extend a result of Garnett and Jones to the case of spaces of homogeneous type.
René Erlín Castillo   +2 more
openalex   +5 more sources

An embedding relation for bounded mean oscillation on rectangles [PDF]

open access: bronzeAnnales Polonici Mathematici, 2014
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
openalex   +5 more sources

Bounded Mean Oscillation on the Bidisk and Operator BMO

open access: bronzeJournal of Functional Analysis, 2002
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
openalex   +4 more sources

On the composition of functions of bounded mean oscillation with meromorphic functions [PDF]

open access: bronzeKyoto Journal of Mathematics, 1991
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
openalex   +4 more sources

Integral means, bounded mean oscillation, and Gel′fer functions [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1991
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
openalex   +4 more sources

An embedding relation for bounded mean oscillation on rectangles [PDF]

open access: green, 2017
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
openalex   +3 more sources

Gel′fer functions, integral means, bounded mean oscillation, and univalency [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1990
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
openalex   +2 more sources

Bounded functions of vanishing mean oscillation on compact metric spaces

open access: bronzeJournal of Functional Analysis, 2003
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
openalex   +3 more sources

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