Results 11 to 20 of about 1,207 (83)

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.
core   +3 more sources

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
core   +3 more sources

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, Frédéric Bernicot, Teresa Luque   +2 more
wiley   +1 more source

Boundedness of Lusin‐area and gλ* functions on localized Morrey‐Campanato spaces over doubling metric measure spaces

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, Eiichi Nakai, Dachun Yang, Fernando Cobos   +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

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

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

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

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
doaj   +1 more source

Traces of Besov, Triebel-Lizorkin and Sobolev Spaces on Metric Spaces

Analysis and Geometry in Metric Spaces, 2017
We establish trace theorems for function spaces defined on general Ahlfors regular metric spaces Z. The results cover the Triebel-Lizorkin spaces and the Besov spaces for smoothness indices s < 1, as well as the first order Hajłasz-Sobolev space M1,p(Z).
Saksman Eero, Soto Tomás
doaj   +1 more source