Results 21 to 30 of about 1,205 (83)
Sparse bilinear forms for Bochner Riesz multipliers and applications
Transactions of the London Mathematical Society, Volume 4, Issue 1, Page 110-128, December 2017., 2017 Abstract We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal. PDE 9 (2016) 1079–1113], in order to control Bochner–Riesz operators by a sparse bilinear form. In this way,
Cristina Benea +2 more
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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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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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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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Pointwise Multipliers on Weak Morrey Spaces
Analysis and Geometry in Metric Spaces, 2020 We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one.
Kawasumi Ryota, Nakai Eiichi
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Necessary and sufficient conditions for boundedness of commutators of the general fractional integral operators on weighted Morrey spaces [PDF]
, 2012 We prove that $b$ is in $Lip_{\bz}(\bz)$ if and only if the commutator $[b,L^{-\alpha/2}]$ of the multiplication operator by $b$ and the general fractional integral operator $L^{-\alpha/2}$ is bounded from the weighed Morrey space $L^{p,k}(\omega)$ to $L^
Si, Zengyan, Zhao, Fayou
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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
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θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space
Open Mathematics, 2018 The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
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Sharp Hardy Identities and Inequalities on Carnot Groups
Advanced Nonlinear Studies, 2021 In this paper we establish general weighted Hardy identities for several subelliptic settings including Hardy identities on the Heisenberg group, Carnot groups with respect to a homogeneous gauge and Carnot–Carathéodory metric, general nilpotent groups ...
Flynn Joshua, Lam Nguyen, Lu Guozhen
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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
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