Page 1 Mathematical Surveys and Monographs Volume 92 Operators, Functions, and Systems:
An Easy Reading Volume 1: Hardy, Hankel, and Toeplitz Nikolai K. Nikolski American …

This paper reviews the literature on admissibility of control and observation operators for
semigroups, presenting many recent results in this approach to infinite-dimensional systems …

In this paper, we characterize the d× d matrix-valued weights W on the complex plane C
such that the Fock projection P α is bounded on the vector-valued spaces L α, W 2 (C d) …

A general family of interpolation methods is introduced which includes, as special cases, the
real and complex methods and also the so-called±or G1 and G2 methods defined by Peetre …

We define the vector-valued, matrix-weighted function spaces ̇ F^ α q _p (W) F˙ p α q
(W)(homogeneous) and F^ α q _p (W) F p α q (W)(inhomogeneous) on R^ n R n, for α ∈ R …

Let W denote a matrix A 2 weight. In this paper, we implement a scalar argument using the
square function to deduce related bounds for vector-valued functions in L 2 (W). These …

We characterize the boundedness of the Bergman projection on vector-valued L2-spaces
with operator-valued weights in terms of an appropriate condition of Muckenhoupt-type for …

In this note we show that two conjectures of George Weiss on admissible and weakly
admissible observation operators fail to hold in general for the right shift semigroup in the …

In this paper, we characterize the $ d\times d $ matrix weights $ W $ on $\mathbb {C}^ n $
such that the Fock projection $ P_ {\alpha} $ is bounded on the vector-valued spaces $ L …

An example is given of an operator weight W that satisfies the dyadic operator Hunt–
Muckenhoupt–Wheeden condition A 2 d for which there exists a dyadic martingale transform …