Results 101 to 110 of about 11,985 (239)
$ B_{\sigma} $-grand Morrey spaces
Electronic Research ArchiveIn this paper, we define the $ B_{\sigma} $-type grand Morrey spaces and establish the extrapolation theorem on the $ B_{\sigma} $-type grand Morrey spaces.
Yixiang Wang, Jiang Zhou
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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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Commutators generated by BMO-functions and the fractional integrals on Orlicz-Morrey spaces [PDF]
, 2023 Takeshi Iida
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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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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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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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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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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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γ-Radonifying operators and UMD-valued Littlewood–Paley–Stein functions in the Hermite setting on BMO and Hardy spaces [PDF]
, 2012 Jorge J. Betancor +4 more
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