Results 1 to 10 of about 405,780 (215)
Composition operators on Hardy-Sobolev spaces and $BMO$-quasiconformal mappings [PDF]
arXiv, 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 from Hardy-Sobolev spaces to Sobolev spaces.
Alexander Menovschikov, Alexander Ukhlov
arxiv +3 more sources
BMO is the intersection of two translates of dyadic BMO [PDF]
C. R. Math. Acad. Sci. Paris 336 (2003), no. 12, 1003--1006., 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. We prove that, BMO(T) is the intersction of BMO_D(T) and a translate of BMO_D(T).
Mei, Tao
arxiv +6 more sources
Spaces H^1 and BMO on ax+b-groups [PDF]
arXiv, 2008 Let S be the semidirect product of R^d and R^+ endowed with the Riemannian symmetric space metric and the right Haar measure: this is a Lie group of exponential growth. In this paper we define an Hardy space H^1 and a BMO space in this context. We prove that the functions in BMO satisfy the John-Nirenberg inequality and that BMO may be identified with ...
Vallarino, Maria
arxiv +3 more sources
Functional Calculus on BMO and Related Spaces
Journal of Functional Analysis, 2002 AbstractLet f be a Borel measurable function of the complex plane to itself. We consider the nonlinear operator Tf defined by Tf[g]=fg, when g belongs to a certain subspace X of the space BMO(Rn) of functions with bounded mean oscillation on the Euclidean space.
Gérard Bourdaud +2 more
openalex +5 more sources
$BMO$ spaces for nondoubling metric measure spaces [PDF]
Publicacions Matemàtiques, 2019 In this article we study the family of $BMO^p$ spaces, $p \geq 1$, in the general context of metric measure spaces. We give a characterization theorem that allows to describe all possible relations between these spaces considered as sets of functions.
Dariusz Kosz
openalex +8 more sources
BMO-Teichmüller spaces revisited [PDF]
Journal of Mathematical Analysis and Applications, 2017 19 ...
Huaying Wei, Michel Zinsmeister
openalex +4 more sources
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.
Donggao Deng +3 more
openalex +7 more sources
Magnetic anomaly inversion through the novel barnacles mating optimization algorithm [PDF]
Scientific Reports, 2022 Dealing with the ill-posed and non-unique nature of the non-linear geophysical inverse problem via local optimizers requires the use of some regularization methods, constraints, and prior information about the Earth's complex interior. Another difficulty
Hanbing Ai +5 more
doaj +2 more sources
BMO spaces associated with semigroups of operators [PDF]
Mathematische Annalen, 2011 We study BMO spaces associated with semigroup of operators and apply the results to boundedness of Fourier multipliers. We prove a universal interpolation theorem for BMO spaces and prove the boundedness of a class of Fourier multipliers on noncommutative Lp spaces for all 1 < p < \infty, with optimal constants in p.
Marius Junge, T. Mei
openalex +5 more sources
Extension theorem for $bmo$ in a domain [PDF]
arXiv, 2023 The $bmo$ space, also known as the local $BMO$ space, is the $BMO$ space which is uniformly locally $L^1$ in addition. In this article, we establish an extension theorem for the $bmo$ space defined in an arbitrary uniformly $C^2$ domain. This extension theorem results in a product estimate for $bmo$ functions defined in an arbitrary uniformly $C^2 ...
Gu, Zhongyang
arxiv +2 more sources