Mean Oscillation of Functions and the Paley-Wiener Space.
M-Harmonic Besov p-spaces and Hankel operators in the Bergman Space on the Ball in Cn.
More Algebraic Properties of Toeplitz Operators.
More subnormal Toeplitz operators.
Multi-analytic operators on Fock spaces.
Multiblock problems for almost periodic matrix functions of several variables.
Multiplicative structure of de Branges's spaces.
L. de Branges has originated a viewpoint one of whose repercussions has been the detailed analysis of certain Hilbert spaces of holomorphic functions contained within the Hardy space H2 of the unit disk (...).
Multipliers and Wiener-Hopf operators on weighted L p spaces
We study multipliers M (bounded operators commuting with translations) on weighted spaces L ω p (ℝ), and establish the existence of a symbol µM for M, and some spectral results for translations S t and multipliers. We also study operators T on the weighted space L ω p (ℝ+) commuting either with the right translations S t , t ∈ ℝ+, or left translations P +S −t , t ∈ ℝ+, and establish the existence of a symbol µ of T. We characterize completely the spectrum σ(S t ) of the operator S t proving that...
Multipliers of Hardy spaces, quadratic integrals and Foiaş-Williams-Peller operators
We obtain a sufficient condition on a B(H)-valued function φ for the operator to be completely bounded on ; the Foiaş-Williams-Peller operator | St Γφ | Rφ = | | | 0 S | is then similar to a contraction. We show that if ⨍ : D → B(H) is a bounded analytic function for which and are Carleson measures, then ⨍ multiplies to itself. Such ⨍ form an algebra A, and when φ’∈ BMO(B(H)), the map is bounded . Thus we construct a functional calculus for operators of Foiaş-Williams-Peller type.
Nombre de valeurs propres d'un opérateur elliptique et polynôme de Hilbert-Samuel
Non-attainable boundary values of H∞ functions.
Normal Hilbert modules over the ball algebra A(B)
The normal cohomology functor is introduced from the category of all normal Hilbert modules over the ball algebra to the category of A(B)-modules. From the calculation of -groups, we show that every normal C(∂B)-extension of a normal Hilbert module (viewed as a Hilbert module over A(B) is normal projective and normal injective. It follows that there is a natural isomorphism between Hom of normal Shilov modules and that of their quotient modules, which is a new lifting theorem of normal Shilov...
Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices.
Note on the spectral inclusion theorem for Toeplitz operators
Notes on unbounded Toeplitz operators in Segal-Bargmann spaces
Relations between different extensions of Toeplitz operators are studied. Additive properties of closed Toeplitz operators are investigated, in particular necessary and sufficient conditions are given and some applications in case of Toeplitz operators with polynomial symbols are indicated.
On a cell decomposition for Hankel matrices and rational functions.
On a class of Toeplitz + Hankel operators.
On a Hilbert-type operator with a symmetric homogeneous kernel of -order and applications.
On a similarity theory for rational Toeplitz operators.
On a weighted Toeplitz operator and its commutant.