Bellman Function and the $H^1-BMO$ Duality [PDF]
Contemporary Math, 428, AMS, 2007, 2008 A Bellman function approach to Fefferman's $H^1-BMO$ duality theorem is presented. One Bellman-type argument is used to handle two different one-dimensional cases, dyadic and continuous. An explicit estimate for the constant of embedding $BMO\subset (H^1)^*$ is given in the dyadic case.
arxiv
Addendum to "Maximal regularity and Hardy spaces" [PDF]
arXiv, 2008 We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Fr\'ed\'eric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.]
arxiv
Endpoint for the div-curl lemma in Hardy spaces [PDF]
arXiv, 2008 We give a div-curl type lemma for the wedge product of closed differential forms on R^n when they have coefficients respectively in a Hardy space and L^infinity or BMO. In this last case, the wedge product belongs to an appropriate Hardy-Orlicz space.
arxiv
Atomic decomposition of Hardy type spaces on certain noncompact manifolds [PDF]
arXiv, 2010 In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We prove that the Hardy type spaces X^k(M), introduced in a previous paper of the authors, have an atomic characterization. As an application, we prove that the Riesz transforms of even order 2k are bounded from X^k(M) to L^1(M)and on
arxiv
Abstract framework for John Nirenberg inequalities and applications to Hardy spaces [PDF]
arXiv, 2010 In this paper, we develop an abstract framework for John-Nirenberg inequalities associated to BMO-type spaces. This work can be seen as the sequel of [5], where the authors introduced a very general framework for atomic and molecular Hardy spaces. Moreover, we show that our assumptions allow us to recover some already known John-Nirenberg inequalities.
arxiv
A maximal function characterisation of the Hardy space for the Gauss measure [PDF]
arXiv, 2010 In dimension one we give a maximal function characterisation of the Hardy space H^1(g) for the Gauss measure g, introduced by G. Mauceri and S. Meda. In arbitrary dimension, we give a description of the nonnegative functions in H^1(g) and use it to prove that L^p(g) is a contained in H^1(g) for 1
arxiv
The intrinsic square function characterizations of weighted Hardy spaces [PDF]
arXiv, 2010 In this paper, we will study the boundedness of intrinsic square functions on the weighted Hardy spaces $H^p(w)$ for $0
arxiv
$L^p$ and Sobolev boundedness of pseudodifferential operators with non-regular symbol: a regularisation approach [PDF]
arXiv, 2010 In this paper we investigate $L^p$ and Sobolev boundedness of a certain class of pseudodifferential operators with non-regular symbols. We employ regularisation methods, namely convolution with a net of mollifiers $(\rho_\eps)_\eps$, and we study the corresponding net of pseudodifferential operators providing $L^p$ and Sobolev estimates which relate ...
arxiv
A new version of Carleson measure associated with Hermite operator. [PDF]
J Inequal Appl, 2018 Huang J, Wang Y, Li W.
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Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces. [PDF]
J Inequal Appl, 2017 Li B, Liao M, Li B.
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