Add to ORKGABSTRACT. Denote by Mn the algebra of n n matrices. We consider the dyadic paraproducts b associated with Mn valued functions b, and show that the L1Mn\u85 norm of b does not dominate kbkL2`2n!L2`2n\u85 uniformly over n. We also consider paraproducts associated with noncommutative martingales and prove that their boundedness on bounded noncommutative Lp-martingale spaces implies their boundedness on bounded non-commutative Lq-martingale spaces for all 1 < p < q <1. 1
AbstractWe prove that non-commutative martingale transforms are of weak type (1,1). More precisely, ...
The natural BMO (bounded mean oscillation) conditions suggested by scalar-valued results are known t...
Let (X,d,μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this article, the a...
We consider BMO spaces of operator-valued functions, among them the space of operator-valued functio...
We study boundedness properties of a class ofmultiparameter paraproducts on the dual space of the dy...
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...
It is well-known that dyadic martingale transforms are a good model for Calderón–Zygmund singular in...
We obtain necessary and sufficient conditions to characterize the boundedness of the composition of ...
Abstract: We extend the definitions of dyadic paraproduct and t-Haar multipliers to dyadic operators...
We give a systematic study of the Hardy spaces of functions with values in the non-commutative Lp-sp...
Let B be a locally integrable matrix function, W a matrix Ap weight with 1<p<∞, and T be any of the ...
Abstract. We prove that mutlilinear paraproducts are bounded from products of Lebesgue spaces Lp1 × ...
AbstractNorm-convergent martingales on tensor products of Banach spaces are considered in a measure-...
We consider submartingales and uniform amarts of maps acting between a Banach lattice and a Banach l...
AbstractWe prove that non-commutative martingale transforms are of weak type (1,1). More precisely, ...
The natural BMO (bounded mean oscillation) conditions suggested by scalar-valued results are known t...
Let (X,d,μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this article, the a...
We consider BMO spaces of operator-valued functions, among them the space of operator-valued functio...
We study boundedness properties of a class ofmultiparameter paraproducts on the dual space of the dy...
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...
It is well-known that dyadic martingale transforms are a good model for Calderón–Zygmund singular in...
We obtain necessary and sufficient conditions to characterize the boundedness of the composition of ...
Abstract: We extend the definitions of dyadic paraproduct and t-Haar multipliers to dyadic operators...
We give a systematic study of the Hardy spaces of functions with values in the non-commutative Lp-sp...
Let B be a locally integrable matrix function, W a matrix Ap weight with 1<p<∞, and T be any of the ...
Abstract. We prove that mutlilinear paraproducts are bounded from products of Lebesgue spaces Lp1 × ...
AbstractNorm-convergent martingales on tensor products of Banach spaces are considered in a measure-...
We consider submartingales and uniform amarts of maps acting between a Banach lattice and a Banach l...
AbstractWe prove that non-commutative martingale transforms are of weak type (1,1). More precisely, ...
The natural BMO (bounded mean oscillation) conditions suggested by scalar-valued results are known t...
Let (X,d,μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this article, the a...