A classical result of Paley and Marcinkiewicz asserts that the Haar system on [0; 1] forms an unconditional basis in Lp provided 1 < p < ∞. The purpose of the paper is to study related weak-type inequalities, which can be regarded as a version of this property for p = 1. Probabilistic counterparts, leading to some sharp estimates for martingale transforms, are presented.A classical result of Paley and Marcinkiewicz asserts that the Haar system on [0; 1] forms an unconditional basis in Lp provided 1 < p < ∞. The purpose of the paper is to study related weak-type inequalities, which can be regarded as a version of this property for p = 1. Probabilistic counterparts, leading to some sharp estimates for martingale tra...
We discuss martingale transforms between martingale Hardy-amalgam spaces Hp,qs,Qp,q and Pp,q. Let 0<...
In this thesis we establish almost sure invariance principles (ASIP's) for strong martingales indexe...
We develop a new approach to prove multiplier theorems in various geometric settings. The main idea ...
A classical result of Paley and Marcinkiewicz asserts that the Haar system h=hkk≥0 on 0,1 forms an u...
Abstract. We use the Bellman function method to give an elementary proof of a sharp weighted estimat...
Many probabilistic constructions have been created to study the Lp-boundedness, 1 \u3c p \u3c ∞, of ...
This book gives a thorough and self contained presentation of H? its known isomorphic invariants and...
43 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.We study a problem of finding ...
International audienceIn these notes, we first give a brief overwiew of martingales methods, from Pa...
AbstractGiven a sequence of martingale differences, Burkholder found the sharp constant for the Lp-n...
We extend Marcinkiewicz-Zygmund strong laws for random fields with values in martingale type p Banac...
A p-smoothable Banach space is characterized in terms of the Hájek-Rényi inequality for Banach space...
Let h = (hk)k≥0 denote the Haar system of functions on [0, 1]. It is well known that h forms an unco...
In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar syst...
In these notes, we first give a brief overwiew of martingales methods, from Paul Lévy (193...
We discuss martingale transforms between martingale Hardy-amalgam spaces Hp,qs,Qp,q and Pp,q. Let 0<...
In this thesis we establish almost sure invariance principles (ASIP's) for strong martingales indexe...
We develop a new approach to prove multiplier theorems in various geometric settings. The main idea ...
A classical result of Paley and Marcinkiewicz asserts that the Haar system h=hkk≥0 on 0,1 forms an u...
Abstract. We use the Bellman function method to give an elementary proof of a sharp weighted estimat...
Many probabilistic constructions have been created to study the Lp-boundedness, 1 \u3c p \u3c ∞, of ...
This book gives a thorough and self contained presentation of H? its known isomorphic invariants and...
43 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.We study a problem of finding ...
International audienceIn these notes, we first give a brief overwiew of martingales methods, from Pa...
AbstractGiven a sequence of martingale differences, Burkholder found the sharp constant for the Lp-n...
We extend Marcinkiewicz-Zygmund strong laws for random fields with values in martingale type p Banac...
A p-smoothable Banach space is characterized in terms of the Hájek-Rényi inequality for Banach space...
Let h = (hk)k≥0 denote the Haar system of functions on [0, 1]. It is well known that h forms an unco...
In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar syst...
In these notes, we first give a brief overwiew of martingales methods, from Paul Lévy (193...
We discuss martingale transforms between martingale Hardy-amalgam spaces Hp,qs,Qp,q and Pp,q. Let 0<...
In this thesis we establish almost sure invariance principles (ASIP's) for strong martingales indexe...
We develop a new approach to prove multiplier theorems in various geometric settings. The main idea ...