Results 11 to 20 of about 1,184 (87)
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
core +4 more sources
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
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
Function spaces on the Koch curve
Journal of Function Spaces, Volume 8, Issue 3, Page 287-299, 2010., 2010 We consider two types of Besov spaces on the Koch curve, defined by traces and with the help of the snowflaked transform. We compare these spaces and give their characterization in terms of Daubechies wavelets.
Maryia Kabanava, Hans Triebel
wiley +1 more source
Analysis and Geometry in Metric Spaces, 2023 The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
doaj +1 more source
A Beurling‐Helson type theorem for modulation spaces
Journal of Function Spaces, Volume 7, Issue 1, Page 33-41, 2009., 2009 We prove a Beurling‐Helson type theorem on modulation spaces. More precisely, we show that the only 𝒞1 changes of variables that leave invariant the modulation spaces ℳp,q(ℝd) are affine functions on ℝd. A special case of our result involving the Sjöstrand algebra was considered earlier by A. Boulkhemair.
Kasso A. Okoudjou, Hans Feightinger
wiley +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we show continuity of commutators of Calderón-Zygmund operators [b,T]\left[b,T] with BMO functions in generalized Orlicz-Morrey spaces MΦ,φ(Rn){M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}). We give necessary and sufficient conditions for
Guliyev V. S. +2 more
doaj +1 more source
On the degree of compactness of embeddings between weighted modulation spaces
Journal of Function Spaces, Volume 6, Issue 3, Page 303-317, 2008., 2008 The paper investigates the asymptotic behaviour of entropy and approximation numbers of compact embeddings between weighted modulation spaces.
Aicke Hinrichs +3 more
wiley +1 more source