Results 101 to 110 of about 12,093 (237)
Journal of Function Spaces, 2019 In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·)
Xukui Shao, Shuangping Tao
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A new version of Carleson measure associated with Hermite operator
Journal of Inequalities and Applications, 2018 Let L=−Δ+|x|2 $L=-\Delta+|x|^{2}$ be a Hermite operator, where Δ is the Laplacian on Rd $\mathbb {R}^{d}$. In this paper we define a new version of Carleson measure associated with Hermite operator, which is adapted to the operator L.
Jizheng Huang, Yaqiong Wang, Weiwei Li
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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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BMO Functions Generated by
, 2021 Ruimin Wu, Songbai Wang
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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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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 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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Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrödinger operators [PDF]
, 2017 Jorge J. Betancor +4 more
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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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