Results 11 to 20 of about 90,447 (280)

LIPSCHITZ SPACES AND BOUNDED MEAN OSCILLATION OF HARMONIC MAPPINGS [PDF]

open access: bronzeBulletin of the Australian Mathematical Society, 2013
In this paper, we first study the bounded mean oscillation of planar harmonic mappings, then a relationship between Lipschitz-type spaces and equivalent modulus of real harmonic mappings is established.
S-H Chen   +3 more
semanticscholar   +6 more sources

Characterizations of bounded mean oscillation [PDF]

open access: goldBulletin of the American Mathematical Society, 1971
Charles Fefferman
semanticscholar   +5 more sources

Bounded Mean Oscillation and the Uniqueness of Active Scalar Equations [PDF]

open access: greenTransactions of the American Mathematical Society, 2011
We consider a number of uniqueness questions for several wide classes of active scalar equations, unifying and generalizing the techniques of several authors.
Jonas Azzam, Jacob Bedrossian
semanticscholar   +6 more sources

Bounded mean oscillation with Orlicz norms and duality of Hardy spaces [PDF]

open access: goldBulletin of the American Mathematical Society, 1976
then it is still true that ƒ E BMO and (1) holds with A < CA'. In fact, a proof similar to that of [2] shows that (1)' implies (2). If the constant 1/2 in (1)' is replaced by a larger number, the result is no longer true.
Jan-Olov Strömberg
semanticscholar   +4 more sources

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
  +5 more sources

Bounded mean oscillation and regulated martingales [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1974
In the martingale context, the dual Banach space to H 1 {H_1} is BMO in analogy with the result of Charles Fefferman [4] for the classical case. This theorem is an easy consequence of decomposition theorems for H 1 {H_1} -martingales which involve
Carl Herz
  +5 more sources

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
openalex   +5 more sources

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
openalex   +4 more sources

Pointwise multipliers for functions of bounded mean oscillation [PDF]

open access: bronzeJournal 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
openalex   +5 more sources

Characterisations for analytic functions of bounded mean oscillation [PDF]

open access: bronzeBulletin 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
openalex   +4 more sources

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