WebThe core, second part of the book is devoted to first developing the noncommutative theory of decreasing rearrangements, before using that technology to present the basic theory of … WebMar 15, 2024 · Noncommutative martingale Hardy-Orlicz spaces: Dualities and inequalities Yong Jiao, Lian Wu & Dejian Zhou Science China Mathematics ( 2024) Cite this article Metrics Abstract We investigate dualities and inequalities related to noncommutative martingale Hardy-Orlicz spaces.
A NOTE ON THE DEFINITION OF AN ORLICZ SPACE - Project …
Websively, in particular in the study of various Orlicz spaces [Or88] and inter-polation theory [Kr82]. Recently, the author of this paper studied noncom-mutative Orlicz spaces from the point of view of modulars [Sa12]. The main objective of the current paper is to investigate the theory of noncommutative modular function spaces. WebIn[1],Arveson introduced the notion offinite,maximal,subdiagonal algebra A of M,as noncommutative analogues of weak∗-Dirichlet algebras.After the Arveson’s work,several authors studied the noncommutative Hardy spaces associated with such algebras([2-7]).Arveson proved a Szegö’s type factorization theorem.Some extensions can be found … how many floors is the willis tower
Orlicz space - Wikipedia
WebOct 15, 2009 · and another to their noncommutative L^-spaces. These extension results are of interest for their own right. The paper is organized as follows. In section 1 we summarize necessary prelim-inaries on crossed products and noncommutative Lp-spaces. For these Lp-spaces we use the construction [H2] of the first-named author. Today, they are commonly Weballows one to consider more general spaces such as quasi-Banach rearrangement invariant spaces that are a-convex with constant 1 and satisfy non trivial g-lower estimate with constant 1. In particular, splitting of bounded sequences is valid in non-commutative Lp-spaces for 0 < p < oo. It should be noted that Sukochev WebNov 17, 2005 · [3,4,5,6,13,14,15,17,18]). Marsalli and West [24] gave a Riesz factorization theorem for finite noncommutative H p spaces. One important extension is due to Blecher and Labuschagne on Beurling ... how many floors is the cn tower