Banach Spaces of Solutions of the Hemholtz Equation in the Plane.
Banach-Stone Theorems and Separating Maps.
Bases in the spaces and
Best simultaneous approximation in Orlicz spaces.
Biseparating maps on generalized Lipschitz spaces
Let X, Y be complete metric spaces and E, F be Banach spaces. A bijective linear operator from a space of E-valued functions on X to a space of F-valued functions on Y is said to be biseparating if f and g are disjoint if and only if Tf and Tg are disjoint. We introduce the class of generalized Lipschitz spaces, which includes as special cases the classes of Lipschitz, little Lipschitz and uniformly continuous functions. Linear biseparating maps between generalized Lipschitz spaces are characterized...
Bloch type spaces on the unit ball of a Hilbert space
We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.
BMO and smooth truncation in Sobolev spaces
Boundary Value Characterizations for Weighted Hardy Spaces of Harmonic Functions.
Bounded evaluation operators from into
Given 0 < p,q < ∞ and any sequence z = zₙ in the unit disc , we define an operator from functions on to sequences by . Necessary and sufficient conditions on zₙ are given such that maps the Hardy space boundedly into the sequence space . A corresponding result for Bergman spaces is also stated.
Bounded Extensions and Characterizations of C(X).
Bounded operators on weighted spaces of holomorphic functions on the upper half-plane
Let v be a standard weight on the upper half-plane , i.e. v: → ]0,∞[ is continuous and satisfies v(w) = v(i Im w), w ∈ , v(it) ≥ v(is) if t ≥ s > 0 and . Put v₁(w) = Im wv(w), w ∈ . We characterize boundedness and surjectivity of the differentiation operator D: Hv() → Hv₁(). For example we show that D is bounded if and only if v is at most of moderate growth. We also study composition operators on Hv().
Bounded projections, duality, and multipliers in spaces of harmonic functions.
Boundedness and compactness of an integral operator in a mixed norm space on the polydisk.
extensions of functions and stabilization of Glaeser refinements.
Caractérisation d'espaces de fonctions analytiques et non quasi-analytiques sur une variété à bord
Carleson embeddings.
Carleson measure, atomic decomposition and free interpolation from Bloch space.
Carleson measures for analytic Besov spaces: the upper triangle case.
Category theorems for certain Banach spaces of analytic functions.
Central decompositions for compact convex sets