Results 41 to 50 of about 513 (71)

Weak-star convergence in multiparameter Hardy spaces [PDF]

Proc. Amer. Math. Soc. 139 (2011), no 4, 1445-1454, 2009
We prove a multiparameter version of a classical theorem of Jones and Journe on weak-star convergence in the Hardy space $H^1$.
arxiv  

Weak type estimates of intrinsic square functions on the weighted Hardy spaces [PDF]

arXiv, 2010
In this paper, by using the atomic decomposition theory of weighted Hardy spaces, we will give some weighted weak type estimates for intrinsic square functions including the Lusin area function, Littlewood-Paley $g$-function and $g^*_\lambda$-function on these spaces.
arxiv  

Strong continuity on Hardy spaces [PDF]

arXiv, 2016
We prove the strong continuity of spectral multiplier operators associated with dilations of certain functions on the general Hardy space $H^1_L$ introduced by Hofmann, Lu, Mitrea, Mitrea, Yan. Our results include the heat and Poisson semigroups as well as the group of imaginary powers.
arxiv  

Molecules associated to Hardy spaces with pointwise variable anisotropy [PDF]

arXiv, 2016
In this paper we introduce molecules associated to Hardy spaces with pointwise variable anisotropy, and prove that each molecule can be represented as a sum of atoms.
arxiv  

Hardy spaces on homogeneous groups and Littlewood-Paley functions [PDF]

arXiv, 2019
We establish a characterization of the Hardy spaces on the homogeneous groups in terms of the Littlewood-Paley functions. The proof is based on vector-valued inequalities shown by applying the Peetre maximal function.
arxiv  

A fractional version of Rivière's GL(n)-gauge. [PDF]

Ann Mat Pura Appl, 2022
Da Lio F, Mazowiecka K, Schikorra A.
europepmc   +1 more source

Elementary proofs of one weight norm inequalities for fractional integral operators and commutators [PDF]

arXiv, 2015
We give new and elementary proofs of one weight norm inequalities for fractional integral operators and commutators. Our proofs are based on the machinery of dyadic grids and sparse operators used in the proof of the A2 conjecture.
arxiv  

Linear Algebraic Properties for Jordan Models of $C_{0}$-operators relative to multiply connected domains [PDF]

arXiv, 2006
We study $C_{0}$-operators relative to a multiply connected domain using a substitute of the characteristic function. This method allows us to prove certain relations between the Jordan model of an operator and that of its restriction to an invariant subspace.
arxiv  

From dyadic $Λ_α$ to $Λ_α$ [PDF]

Illinois J. Math. 52 (2008) no.2, 681-689, 2007
In this paper we show how to compute the $\Lambda_{\alpha}$ norm, $\alpha\ge 0$, using the dyadic grid. This result is a consequence of the description of the Hardy spaces $H^p(R^N)$ in terms of dyadic and special atoms.
arxiv