Results 21 to 30 of about 1,610 (98)
Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces
Open Mathematics, 2020 In this paper, we give a boundedness criterion for the potential operator ℐα{ {\mathcal I} }^{\alpha } in the local generalized Morrey space LMp,φ{t0}(Γ)L{M}_{p,\varphi }^{\{{t}_{0}\}}(\text{Γ}) and the generalized Morrey space Mp,φ(Γ){M}_{p ...
Guliyev Vagif +2 more
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Notes on pseudodifferential operators commutators and Lipschitz functions
Open Mathematics, 2023 This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
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Journal of Function Spaces, Volume 9, Issue 3, Page 245-282, 2011., 2011 Let χ be a doubling metric measure space and ρ an admissible function on χ. In this paper, the authors establish some equivalent characterizations for the localized Morrey‐Campanato spaces ερα,p(χ) and Morrey‐Campanato‐BLO spaces ε̃ρα,p(χ) when α ∈ (−∞, 0) and p ∈ [1, ∞).
Haibo Lin +3 more
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Weighted Variable Exponent Sobolev spaces on metric measure spaces
Moroccan Journal of Pure and Applied Analysis, 2018 In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
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Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications
Open Mathematics, 2023 In this article, we introduce anisotropic mixed-norm Herz spaces K˙q→,a→α,p(Rn){\dot{K}}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb{R}}}^{n}) and Kq→,a→α,p(Rn){K}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb ...
Zhao Yichun, Zhou Jiang
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A note on the cone restriction conjecture in the cylindrically symmetric case [PDF]
, 2008 In this note, we present two arguments showing that the classical \textit{linear adjoint cone restriction conjecture} holds for the class of functions supported on the cone and invariant under the spatial rotation in all dimensions. The first is based on
Shao, Shuanglin
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The Boundedness of Commutators of Singular Integral Operators with Besov Functions
Journal of Function Spaces, Volume 8, Issue 3, Page 245-256, 2010., 2010 In this paper, we prove the boundedness of commutator generated by singular integral operator and Besov function from some Ld to Triebel‐Lizorkin spaces.
Xionglue Gao +2 more
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Analysis and Geometry in Metric Spaces, 2023 Let (X,d,μ)\left({\mathcal{X}},d,\mu ) be a non-homogeneous metric measure space satisfying the geometrically doubling and upper doubling conditions. In this setting, we first introduce a generalized Morrey space Mpu(μ){M}_{p}^{u}\left(\mu ), where 1 ...
Lu Guanghui +2 more
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Boundedness of vector-valued intrinsic square functions in Morrey type spaces [PDF]
, 2014 In this paper, we will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the weighted Morrey spaces $L^{p,\kappa}(w)$ when $1\leq ...
Wang, Hua
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Endpoint estimates for homogeneous Littlewood‐Paley g‐functions with non‐doubling measures
Journal of Function Spaces, Volume 7, Issue 2, Page 187-207, 2009., 2009 Let µ be a nonnegative Radon measure on ℝd which satisfies the growth condition that there exist constants C0 > 0 and n ∈ (0, d] such that for all x ∈ ℝd and r > 0, μ(B(x, r)) ≤ C0rn, where B(x, r) is the open ball centered at x and having radius r .
Dachun Yang, Dongyong Yang, Hans Triebel
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