A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (R, μ) with μ(B(x, r)) ≤ Cr, in which non-doubling harmonic analysis has recently been developed. It seems to be a promising framework for an abstract extension of this theory. Tolsa’s space of regularised BMO functions is defined in th...

This article presents a modular automaton-based framework to specify flexible manufacturing systems and optimize the makespan of product batches. The Batch Makespan Optimization (BMO) problem is NP-Hard optimization can therefore take prohibitively long, depending on size state-space induced by specification. To tame explosion problem, we develop an algebra based automata equivalence inclusion ...

In this paper we establish some endpoint estimates for bilinear pseudodifferential operators with symbol in the class BS1,1m, involving space of functions local bounded mean oscillation bmo(Rn). As a consequence also obtain an estimate Kato-Ponce type.

We study in this article the solutions of the Navier-Stokes equations, with an initial data in ∂BMO. For u|t=0 in the closure of the Schwartz class, we obtain the existence and uniqueness of a global solution, and an estimate on its norm in ∂BMO.

Despite the use of newer and more powerful calendar and collaboration tools, the task of scheduling and rescheduling meetings is very time consuming for busy professionals, especially for highly mobile people. Research projects and commercial calendar products have worked since the early 1990s on implementing intelligent meeting organizers to automate meeting scheduling. However, automated sche...

A type of oscillation modeled on BMO is introduced to characterize norm compactness in L 1. This result is used to characterize the bounded linear operators from L 1 into a Banach space X that map weakly convergent sequences onto norm convergent sequences (i.e. are Dunford-Pettis). This characterization is used to study the geometry of Banach spaces X with the property that all bounded linear o...

We introduce a family of weighted BMO spaces in the Bergman metric on the unit ball of C and use them to characterize complex functions f such that the big Hankel operators Hf and Hf̄ are both bounded or compact from a weighted Bergman space into a weighted Lesbegue space with possibly different exponents and different weights. As a consequence, when the symbol function f is holomorphic, we char...

Here R+ denotes the upper half-plane and BMO(R 2 +×R 2 +) is defined to be the dual of the realvariable Hardy space H on the product domain R+×R 2 +. There are several equivalent ways to define this latter space and the reader is referred to [5] for the various characterizations. We will be more interested in the biholomorphic analogue of H, which can be defined in terms of the boundary values ...

We study tent spaces on general measure spaces (Ω, μ). We assume that there exists a semigroup of positive operators on Lp(Ω, μ) satisfying a monotone property but do not assume any geometric/metric structure on Ω. The semigroup plays the same role as integrals on cones and cubes in Euclidean spaces. We then study BMO spaces on general measure spaces and get an analogue of Fefferman’s H1-BMO du...