Results 81 to 90 of about 868 (184)
Journal of Function Spaces, 2014 We introduce a new space QK(∂D) of Lebesgue measurable functions on the unit circle connecting closely with the Sobolev space. We obtain a necessary and sufficient condition on K such that QK(∂D)=BMO(∂D), as well as a general criterion on weight ...
Jizhen Zhou
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Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators
Journal of Function Spaces and Applications, 2013 Let L=-Δ+V be a Schrödinger operator on ℝn (n≥3), where V≢0 is a nonnegative potential belonging to certain reverse Hölder class Bs for s≥n/2. In this paper, we prove the boundedness of commutators ℛbHf=bℛHf-ℛH(bf) generated by the higher order Riesz ...
Yu Liu, Lijuan Wang, Jianfeng Dong
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BMO on Weighted Bergman Spaces Over Tubular Domains
Complex Analysis and Operator TheoryIn this paper, we characterize Bounded Mean Oscillation (BMO) and establish their connection with Hankel operators on weighted Bergman spaces over tubular domains. By utilizing the space BMO, we provide a new characterization of Bloch spaces on tubular domains. Next, we define a modified projection operator and prove its boundedness.
Ding, Jiaqing +3 more
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BMO from dyadic BMO via expectations on product spaces of homogeneous type
Journal of Functional Analysis, 2013 Based on quotations from the authors' abstract: In this paper, by ``using the random dyadic lattices developed by \textit{T. Hytönen} and \textit{A. Kairema}'' [Colloq. Math. 126, No. 1, 1--33 (2012; Zbl 1244.42010)], the authors set up ``a bridge between BMO and dyadic BMO, and hence one between VMO and dyadic VMO, via expectations over dyadic ...
Chen, Peng, Li, Ji, Ward, Lesley A.
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Function spaces between BMO and critical Sobolev spaces
Journal of Functional Analysis, 2006 The author introduces the function spaces \(D_\ell(\mathbb{R}^d)\) which are based on a regularity property for the critical Sobolev spaces \(W^{s,p}(\mathbb{R}^d)\) with \(sp=d\). The spaces \(D_\ell(\mathbb{R}^d)\) contain all the critical Sobolev spaces. The spaces \(D_\ell(\mathbb{R}^d)\) contain neither \(\text{BMO}(\mathbb{R}^d)\) nor \(\text{VMO}
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Weighted BMO spaces associated to operators
, 2012 In this version, the results on Hardy spaces were ...
Bui, The Anh, Duong, Xuan Thinh
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Central BMO spaces with variable exponent
, 2017 In this paper, the central BMO spaces with variable exponent are introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on variable Lebesgue spaces. The boundedness of vector-valued commutators on Herz spaces with variable exponent are also considered.
Wang, Dinghuai +3 more
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Advances in Nonlinear AnalysisLet G{\mathcal{G}} be a stratified Lie group, and let {Xj}1≤j≤n1{\left\{{X}_{j}\right\}}_{1\le j\le {n}_{1}} be a basis of the left-invariant vector fields of degree one on G{\mathcal{G}} and Δ=−∑j=1n1Xj2\Delta =-{\sum }_{j=1}^{{n}_{1}}{X}_{j}^{2} be the
Han Xueting, Chen Yanping
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On representation of solutions to the heat equation
Comptes Rendus. MathématiqueWe propose a simple method to obtain semigroup representation of solutions to the heat equation using a local $L^2$ condition with prescribed growth and a boundedness condition within tempered distributions.
Auscher, Pascal, Hou, Hedong
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θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space
Open Mathematics, 2018 The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
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