We develop a general theory of martingale transform operators with operator-valued multiplying sequences. Applications are given to classical operators such as Doob\u27s maximal function and the square function. Some geometric properties of the underlying Banach spaces are also considered
We consider submartingales and uniform amarts of maps acting between a Banach lattice and a Banach l...
Many probabilistic constructions have been created to study the Lp-boundedness, 1 \u3c p \u3c ∞, of ...
We introduce the notion of weak differential subordination for martingales, and show that a Banach s...
We develop a new approach to prove multiplier theorems in various geometric settings. The main idea ...
We aim to investigate the convergence of operators sequences acting on functionals of discrete-time ...
The Radon-Nikodým property was introduced to describe those Banach spaces X for which all operators ...
AbstractWe study weighted inequalities for vector valued extensions of the conditioned square functi...
AbstractWe apply the theory of martingale transforms to study the Beurling–Ahlfors transform,S, in d...
The Radon-Nikodým property was introduced to describe those Banach spaces X for which all operators...
We obtain weak versions of the Burkholder-Davis-Gundy inequalities for vector-valued martingales by ...
AbstractThis second part of the work on Banach space valued multifunctions begins with a detailed st...
AbstractSufficient conditions are given to get weighted inequalities between two maximal operators o...
We discuss martingale transforms between martingale Hardy-amalgam spaces Hp,qs,Qp,q and Pp,q. Let 0<...
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, ...
In this paper we explore the fundamentals of the Martingale Representation Theorem (MRT) and a close...
We consider submartingales and uniform amarts of maps acting between a Banach lattice and a Banach l...
Many probabilistic constructions have been created to study the Lp-boundedness, 1 \u3c p \u3c ∞, of ...
We introduce the notion of weak differential subordination for martingales, and show that a Banach s...
We develop a new approach to prove multiplier theorems in various geometric settings. The main idea ...
We aim to investigate the convergence of operators sequences acting on functionals of discrete-time ...
The Radon-Nikodým property was introduced to describe those Banach spaces X for which all operators ...
AbstractWe study weighted inequalities for vector valued extensions of the conditioned square functi...
AbstractWe apply the theory of martingale transforms to study the Beurling–Ahlfors transform,S, in d...
The Radon-Nikodým property was introduced to describe those Banach spaces X for which all operators...
We obtain weak versions of the Burkholder-Davis-Gundy inequalities for vector-valued martingales by ...
AbstractThis second part of the work on Banach space valued multifunctions begins with a detailed st...
AbstractSufficient conditions are given to get weighted inequalities between two maximal operators o...
We discuss martingale transforms between martingale Hardy-amalgam spaces Hp,qs,Qp,q and Pp,q. Let 0<...
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, ...
In this paper we explore the fundamentals of the Martingale Representation Theorem (MRT) and a close...
We consider submartingales and uniform amarts of maps acting between a Banach lattice and a Banach l...
Many probabilistic constructions have been created to study the Lp-boundedness, 1 \u3c p \u3c ∞, of ...
We introduce the notion of weak differential subordination for martingales, and show that a Banach s...