Results 1 to 10 of about 30,248 (251)
BMO is the intersection of two translates of dyadic BMO [PDF]
Comptes Rendus. Mathématique, 2003 Let T be the unite circle on $R^2$. Denote by BMO(T) the classical BMO space and denote by BMO_D(T) the usual dyadic BMO space on T.
Mei, Tao
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Comparison of the classical BMO with the BMO spaces associated with operators and applications
Revista Matemática Iberoamericana, 2008 Let L be a generator of a semigroup satisfying the Gaussian upper bounds. A new {\rm BMO}_L space associated with L was recently introduced in [Duong, X. T.
Lixin Yan +4 more
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A characterization of product BMO by commutators
Acta Mathematica, 2002 Let b be a function on the plane. Let H_j, j=1,2, be the Hilbert transform acting on the j-th coordinate on the plane. We show that the operator norm of the double commutator [[ M_b, H_1], H_2] is equivalent to the Chang-Fefferman BMO norm of b. Here, M_b denotes the operator which is multiplication by b.
Ferguson, Sarah H., Lacey, Michael T.
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Operator valued BMO and commutators [PDF]
Publicacions Matemàtiques, 2009 If E is a Banach space, b ∈ BMO(Rn, L(E) and T is a L(E)-valued Calderón-Zygmund type operator with operator-valued kernel k, we show the boundedness of the commutator Tb(f) = bT(f) − T(bf) on Lp(Rn,E) for 1 < p < ∞ whenever b and k verify some commuting properties. Some endpoint estimates are also provided.
O. Blasco
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Bergman projection and BMO in hyperbolic metric: improvement of classical result [PDF]
Mathematische Zeitschrift, 2022 The Bergman projection $$P_\alpha $$ P α , induced by a standard radial weight, is bounded and onto from $$L^\infty $$ L ∞ to the Bloch space $$\mathcal {B}$$ B . However, $$P_\alpha : L^\infty \rightarrow \mathcal {B}$$ P α : L ∞ → B is not a projection.
Jos'e 'Angel Pel'aez, J. Rättyä
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Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings [PDF]
Journal of Mathematical Sciences, 2021 In this paper, we consider composition operators on Hardy-Sobolev spaces in connections with BMO-quasiconformal mappings. Using the duality of Hardy spaces and BMO-spaces, we prove that BMO-quasiconformal mappings generate bounded composition operators ...
A. Menovschikov, A. Ukhlov
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Maximal regularity for the Cauchy problem of the heat equation in BMO
Mathematische Nachrichten, 2022 We consider maximal regularity for the Cauchy problem of the heat equation in a class of bounded mean oscillations ( BMO$BMO$ ). Maximal regularity for non‐reflexive Banach spaces is not obtained by the established abstract theory. Based on the symmetric
T. Ogawa, Senjo Shimizu
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Pacific Journal of Mathematics, 1982 Then clearly BMO c BMO, with \\φ\\d £\\φ\\, but BMO and BMO, are not the same space; the function log\x9 \X{ttlj>0] is in BMO, but not in BMO. In analysis BMO is more important than BMO, because BMO is translation invariant, but BMO, is not. On the other hand, BMO, is very much the easier space to work with because dyadic cubes are nested (if two open ...
Garnett, John B., Jones, Peter W.
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Paraproducts, Bloom BMO and sparse BMO functions
Revista Matemática Iberoamericana, 2022 We address L^p(\mu)\to L^p(\lambda) bounds for paraproducts in the Bloom setting. We introduce certain “sparse BMO” functions associated with sparse collections with no infinitely increasing chains, and use these to express sparse operators as sums of paraproducts and martingale ...
Fragkiadaki, Valentia, Fay, Irina Holmes
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Another Characterization of BMO [PDF]
Proceedings of the American Mathematical Society, 1980 The following characterization of functions of bounded mean oscillation (BMO) is proved. f is in BMO if and only if \[ f = α log g ∗ − β log h ∗ + b f = \alpha ...
R. R. Coifman, Richard Rochberg
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