Results 191 to 200 of about 4,428 (209)
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BMO from dyadic BMO on the bidisc
Journal of the London Mathematical Society, 2008AbstractWe generalize to the bidisc a theorem of Garnett and Jones relating the space BMO of functions of bounded mean oscillation to its martingale counterpart, dyadic BMO. Namely, translation‐averages of suitable families of dyadic BMO functions belong to BMO.
Jill Pipher, Lesley Ward
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BMO estimates for the -Laplacian [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2012 Abstract We prove BMO estimates of the inhomogeneous p -Laplace system given by − div ( | ∇ u | p − 2 ∇ u ) = div f . We show that f ∈ BMO implies | ∇ u | p − 2 ∇ u ∈ BMO , which is the limiting case of the nonlinear Calderon–Zygmund theory.
Diening, Lars +2 more
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, 1997 Recall from Ch. 6 that a function u on T is in L p (T) if and only if its Hubert transform Hu is. By virtue of (2.8) in Ch. 6, we can define the Hubert transform even for u ∈ L1(T) as a formal Fourier series; in general, it will not belong to L1(T) but merely be a distribution; cf. Remark 2.1 in Ch. 6.
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Acta Mathematica Scientia, 2000
Abstract In this paper, a negative answer to a question raised by Durrett(1984)[l] about a BMO martingale is given.
Kainan Xiang, Kainan Xiang
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Abstract In this paper, a negative answer to a question raised by Durrett(1984)[l] about a BMO martingale is given.
Kainan Xiang, Kainan Xiang
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2009
In this chapter we provide some norm comparison theorems related to the BMO norms and the Lipschitz norms. We prove that the integrability exponents described in the Lipschitz norm comparison theorem (Theorem 9.2.1) are the best possible. We also develop some norm comparison theorems for the operators.
Shusen Ding +2 more
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In this chapter we provide some norm comparison theorems related to the BMO norms and the Lipschitz norms. We prove that the integrability exponents described in the Lipschitz norm comparison theorem (Theorem 9.2.1) are the best possible. We also develop some norm comparison theorems for the operators.
Shusen Ding +2 more
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Journal d'Analyse Mathématique, 2001
Plane BMO-quasiconformal and BMO-quasiregular mappings are introduced, and their basic properties are studied. This includes distortion, existence, uniqueness, representation, integrability, convergence and removability theorems, the reflection principle, boundary behavior and mapping properties.
Vladimir Ryazanov +2 more
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Plane BMO-quasiconformal and BMO-quasiregular mappings are introduced, and their basic properties are studied. This includes distortion, existence, uniqueness, representation, integrability, convergence and removability theorems, the reflection principle, boundary behavior and mapping properties.
Vladimir Ryazanov +2 more
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2008
If the deviation of a function from its averages over all cubes is bounded, then the function is called of bounded mean oscillation (BMO). Bounded functions are of bounded mean oscillation, but there exist unbounded BMO functions. Such functions are slowly growing, and they typically have at most logarithmic blowup.
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If the deviation of a function from its averages over all cubes is bounded, then the function is called of bounded mean oscillation (BMO). Bounded functions are of bounded mean oscillation, but there exist unbounded BMO functions. Such functions are slowly growing, and they typically have at most logarithmic blowup.
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On BMO and the Torsion Function
1988The space BMO has been extensively studied by many authors (see [6] for a good exposition of this topic). However, whereas the real-variable theory is highly developed in any dimension, its counterpart, the space BMOH of harmonic functions of bounded mean oscillation seems not to be well understood in case the dimension is greater than two.
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2006
This survey paper presents in the 2-dimensional case recent results which generalize plane quasiconformality and quasiregularity to the case of mappings whose distortion is dominated by a BMO-function. These are the so-called BMO-mappings. After a brief exposure on real BMO-functions in §2 classes of BMO-mappings are discussed in §3.
Cabiria Andreian Cazacu +1 more
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This survey paper presents in the 2-dimensional case recent results which generalize plane quasiconformality and quasiregularity to the case of mappings whose distortion is dominated by a BMO-function. These are the so-called BMO-mappings. After a brief exposure on real BMO-functions in §2 classes of BMO-mappings are discussed in §3.
Cabiria Andreian Cazacu +1 more
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Properties of BMO Functions whose Reciprocals are also BMO
Zeitschrift für Analysis und ihre Anwendungen, 1993C. Neugebauer, R. Johnson
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