Results 11 to 20 of about 70,010 (263)
Vector valued measures of bounded mean oscillation [PDF]
The author considers the \(H^ 1\)-BMO duality for vector-valued functions in the more general setting of spaces of homogeneous type. A space of homogeneous type \(\Omega\) is a topological space endowed with a Borel measure \(m\) defined on the Borel subsets \(\Sigma\) of \(\Omega\) and a quasi-distance \(d\) such that the open balls centered at \(x ...
Blasco de la Cruz, Oscar
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On the Dirichlet problem for A-harmonic functions
We study the Dirichlet boundary value problem with continuous boundary data for the A-harmonic equations div[A grad u] = 0 in an arbitrary bounded domain D of the complex plane £ with no boundary component degenerated to a single point.
V.Ya. Gutlyanskiĭ +3 more
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Some estimates for the commutators of multilinear maximal function on Morrey-type space
In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space.
Yu Xiao, Zhang Pu, Li Hongliang
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Bounded Point Derivations and Functions of Bounded Mean Oscillation [PDF]
14 pages, 1 ...
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On the John–Nirenberg inequality
We present a version of the John–Nirenberg inequality for a sub-class of BMO by estimating the corresponding mean oscillating distribution function via dyadic decomposition.
Hee Chul Pak
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Invertibility and Fredholm Property of Fock Toeplitz Operators
We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
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On functions of bounded β-dimensional mean oscillation
Abstract In this paper, we define a notion of β-dimensional mean oscillation of functions u : Q
Chen, You-Wei, Spector, Daniel
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Carleson measure and balayage [PDF]
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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Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents
In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
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Characterizations of Bounded Mean Oscillation [PDF]
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
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