Results 11 to 20 of about 1,361 (124)
Analysis and Geometry in Metric Spaces, 2022 Let (𝒳, d, μ) be a non-homogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. Under assumption that θ and dominating function λ satisfy certain conditions, the authors prove that ...
Lu Guanghui +2 more
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Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group
Open Mathematics, 2020 In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.
Ajaib Amna, Hussain Amjad
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Weak Factorizations of the Hardy space $H^1(\mathbb{R}^n)$ in terms of Multilinear Riesz Transforms [PDF]
, 2016 This paper provides a constructive proof of the weak factorizations of the classical Hardy space $H^1(\mathbb{R}^n)$ in terms of multilinear Riesz transforms. As a direct application, we obtain a new proof of the characterization of ${\rm BMO}(\mathbb{R}^
Li, Ji, Wick, Brett D.
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Open Mathematics, 2021 If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.
Wang Shengrong, Xu Jingshi
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Factorization of some Hardy type spaces of holomorphic functions [PDF]
, 2014 We prove that the pointwise product of two holomorphic functions of the upper half-plane, one in the Hardy space $\mathcal H^1$, the other one in its dual, belongs to a Hardy type space. Conversely, every holomorphic function in this space can be written
Bonami, Aline, Ky, Luong Dang
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Open Mathematics, 2021 In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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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 multilinear p-adic Hardy operators and commutators
Open Mathematics, 2017 In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces ...
Liu Ronghui, Zhou Jiang
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Atomic, molecular and wavelet decomposition of generalized 2‐microlocal Besov spaces
Journal of Function Spaces, Volume 8, Issue 2, Page 129-165, 2010., 2010 We introduce generalized 2‐microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2‐microlocal spaces are invariant under the action of pseudodifferential operators of order 0.
Henning Kempka, Hans Triebel
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