Abstract. We prove that mutlilinear paraproducts are bounded from products of Lebesgue spaces Lp1 × · · ·×Lpm+1 to Lp,∞, when 1 ≤ p1,..., pm+1 <∞, 1/p1+ · · ·+1/pm+1 = 1/p. We focus on the endpoint case when some indices pj are equal to 1, in particular we obtain a new proof of the estimate L1× · · ·×L1 → L1/(m+1),∞. In memory of Nigel Kalton 1
AbstractIn this paper, we prove that the product (in the distribution sense) of two functions, which...
The problems presented in this thesis were motivated by the study of a Rubio de Francia operator for...
This article completes the proof of theLp-boundedness of bilinear operators associated to nonsmooth ...
We give an explicit formula for one possible Bellman function associated with the Lp boundedness of ...
AbstractThe dyadic paraproduct is bounded in weighted Lebesgue spaces Lp(w) if and only if the weigh...
Let (X,d,μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this article, the a...
ABSTRACT. Denote by Mn the algebra of n n matrices. We consider the dyadic paraproducts b associate...
In this paper, we explore a general method to derive Hp → Lp boundedness from Hp → Hp boundedness of...
AbstractWe prove mapping properties of the form T:B˙p1α1,q1×Lp2→B˙p3α2,q2 and T:B˙p1α1,q1×B˙p2α2,q2→...
We prove L-p bounds for the extensions of standard multilinear Calderon-Zygmund operators to tuples ...
International audienceWe present a new approach to the study of singular multi-parameter multilinear...
AbstractUnder the assumption that μ is a non-doubling measure on Rd, the author proves that for the ...
Paraproducts are important operators in harmonic analysis and there are well known characterization...
AbstractIn this work, some bilinear analogues of linear Littlewood–Paley theory are explored. Parapr...
We obtain necessary and sufficient conditions to characterize the boundedness of the composition of ...
AbstractIn this paper, we prove that the product (in the distribution sense) of two functions, which...
The problems presented in this thesis were motivated by the study of a Rubio de Francia operator for...
This article completes the proof of theLp-boundedness of bilinear operators associated to nonsmooth ...
We give an explicit formula for one possible Bellman function associated with the Lp boundedness of ...
AbstractThe dyadic paraproduct is bounded in weighted Lebesgue spaces Lp(w) if and only if the weigh...
Let (X,d,μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this article, the a...
ABSTRACT. Denote by Mn the algebra of n n matrices. We consider the dyadic paraproducts b associate...
In this paper, we explore a general method to derive Hp → Lp boundedness from Hp → Hp boundedness of...
AbstractWe prove mapping properties of the form T:B˙p1α1,q1×Lp2→B˙p3α2,q2 and T:B˙p1α1,q1×B˙p2α2,q2→...
We prove L-p bounds for the extensions of standard multilinear Calderon-Zygmund operators to tuples ...
International audienceWe present a new approach to the study of singular multi-parameter multilinear...
AbstractUnder the assumption that μ is a non-doubling measure on Rd, the author proves that for the ...
Paraproducts are important operators in harmonic analysis and there are well known characterization...
AbstractIn this work, some bilinear analogues of linear Littlewood–Paley theory are explored. Parapr...
We obtain necessary and sufficient conditions to characterize the boundedness of the composition of ...
AbstractIn this paper, we prove that the product (in the distribution sense) of two functions, which...
The problems presented in this thesis were motivated by the study of a Rubio de Francia operator for...
This article completes the proof of theLp-boundedness of bilinear operators associated to nonsmooth ...
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