Results 11 to 20 of about 70,030 (299)

Characterizations of bounded mean oscillation [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1975
Recall that an integrable function f f on a cube Q 0 {Q_0} in R n {{\mathbf {R}}^n} is said to be of bounded mean oscillation if there is a constant K K such that for
Stephen Jay Berman
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Bounded Point Derivations and Functions of Bounded Mean Oscillation [PDF]

open access: greenComputational Methods and Function Theory, 2021
14 pages, 1 ...
Stephen Deterding
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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
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On functions of bounded β-dimensional mean oscillation [PDF]

open access: hybridAdvances in Calculus of Variations, 2023
Abstract In this paper, we define a notion of β-dimensional mean oscillation of functions u : Q
You-Wei Chen, Daniel Spector
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Mean Lipschitz spaces and bounded mean oscillation [PDF]

open access: bronzeIllinois Journal of Mathematics, 1997
Assume that \(f(z)\) is analytic in the unit disk and has a non-tangential limit \(f(e^{i\theta})\) at a.e. point of the unit circle. The integral modulus of continuity of order \(p\), \(1\leq p < +\infty\), of the boundary function \(f(e^{i\theta})\) is \(\omega (\delta , f) = \sup_ ...
Daniel Girela
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Random series and bounded mean oscillation. [PDF]

open access: bronzeMichigan Mathematical Journal, 1985
It has long been known that if \(\sum | a_ n ...
Peter Duren
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Mean oscillation bounds on rearrangements [PDF]

open access: yesTransactions of the American Mathematical Society, 2022
We use geometric arguments to prove explicit bounds on the mean oscillation for two important rearrangements on R n {\mathbb {R}^n} . For the decreasing rearrangement f ∗ f^* of a rearrangeable function f f of bounded mean ...
Burchard, Almut   +2 more
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LIPSCHITZ SPACES AND BOUNDED MEAN OSCILLATION OF HARMONIC MAPPINGS [PDF]

open access: diamondBulletin of the Australian Mathematical Society, 2013
AbstractWe first study the bounded mean oscillation of planar harmonic mappings. Then we establish a relationship between Lipschitz-type spaces and equivalent modulus of real harmonic mappings. Finally, we obtain sharp estimates on the Lipschitz number of planar harmonic mappings in terms of the bounded mean oscillation norm, which shows that the ...
S-H Chen   +3 more
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On the Space of Bounded Mean Oscillations

open access: diamondJournal of the Institute of Engineering, 2021
The space of bounded mean oscillations, abbreviated BMO, was first introduced by F. John and L. Nirenberg in 1961 in the context of partial differential equations. Later, C. Fefferman proved that the BMO is the dual space of well-known Hardy space, popularly known as H1 space and became the center of attraction for mathematicians.
Santosh Ghimire, Aarjan Kumar Sunar
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