Results 31 to 40 of about 4,613,210 (206)
Carleson measure and balayage [PDF]
, 2009 The balayage of a Carleson measure lies of course in the space of functions of bounded mean oscillation (BMO). We show that the converse statement is false. We also make a two-sided estimate of the Carleson norm of a positive measure in terms of <i>
Pott, Sandra, Volberg, Alexander
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Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations [PDF]
, 2015 We prove that local and global parabolic BMO spaces are equal thus extending the classical result of Reimann and Rychener. Moreover, we show that functions in parabolic BMO are exponentially integrable in a general class of space-time cylinders.
Saari, Olli
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BMO on the Bergman spaces of the classical domains [PDF]
Bulletin of the American Mathematical Society, 1987 Let \(\Omega\) be a bounded symmetric domain in \({\mathbb{C}}^ n\), dv Lebesgue measure, \(L^ 2\) and \(H^ 2\) defined with respect to this measure. For \(f\in L^ 2\), let \(M_ f\) the (unbounded) operator of multiplicaton by f and P the Bergman projection of \(L^ 2\) onto \(H^ 2\).
Berger, C. A., Coburn, L. A., Zhu, K. H.
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Journal of Inequalities and Applications, 2013 In this paper BMO-Lorentz martingale spaces are investigated. We give the characterization of BMO-Lorentz martingale spaces. Moreover, we discuss the relationship between the Carleson measure and BMO-Lorentz martingales. As a consequence, we find a new way to characterize the geometrical properties of a Banach space.
Xuming Yi +2 more
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Pointwise multipliers of weighted BMO spaces [PDF]
Proceedings of the American Mathematical Society, 1993 In a recent paper by S. Bloom (Pointwise multipliers of weighted B M O BMO spaces, Proc. Amer. Math. Soc. 105 (1989), 950-960), there are some inaccuracies. In this note, we give a counterexample to his "theorem" and a corrected form with proof under a suitable condition on weights.
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, 2012 We study boundedness properties of a class of multiparameter paraproducts on the dual space of the dyadic Hardy space H_d^1(T^N), the dyadic product BMO space BMO_d(T^N). For this, we introduce a notion of logarithmic mean oscillation on the polydisc. We
Pott, Sandra, Sehba, Benoit
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UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces
, 2013 We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions associated with Poisson semigroups for Bessel operators are defined by using fractional derivatives.
Betancor, J. J. +2 more
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BMO and the John-Nirenberg Inequality on Measure Spaces [PDF]
Analysis and Geometry in Metric Spaces, 2020 Abstract We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢. The aim is to see how much of the familiar BMO machinery holds when metric notions have been replaced by measure ...
Andrew Lavigne, Ryan Gibara, Galia Dafni
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On Hardy and BMO Spaces for Grushin Operator [PDF]
Journal of Fourier Analysis and Applications, 2015 We study Hardy and BMO spaces associated with the Grushin operator. We first prove atomic and maximal functions characterizations of the Hardy space. Further we establish a version of Fefferman–Stein decomposition of BMO functions associated with the Grushin operator and then obtain a Riesz transforms characterization of the Hardy space.
Dziubański, Jacek, Jotsaroop, K.
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, 2015 Let $L$ be a linear operator on $L^2(\mathbb R^n)$ generating an analytic semigroup $\{e^{-tL}\}_{t\ge0}$ with kernels having pointwise upper bounds and $p(\cdot):\ \mathbb R^n\to(0,1]$ be a variable exponent function satisfying the globally log-H\"older
Yang, Dachun, Zhuo, Ciqiang
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