Interpolation theorems for operators relatively bounded by differential-type transformations.
Interpolation theorems for rearrangement invariant -spaces of functions, , and some applications
Interpolation with a parameter function.
Interpolationsfunktoren, Folgenideale und Operatorenideale
Intersection properties of balls in tensor products of some Banach spaces.
Intersections and algebraic sums of Musielak-Orlicz spaces
Intersections of minimal prime ideals in the rings of continuous functions
A space is called -compact by M. Mandelker if the intersection of all free maximal ideals of coincides with the ring of all functions in with compact support. In this paper we introduce -compact and -compact spaces and we show that a space is -compact if and only if it is both -compact and -compact. We also establish that every space admits a -compactification and a -compactification. Examples and counterexamples are given.
Intertwining Multiplication Operators on Function Spaces
Suppose that X is a Banach space of analytic functions on a plane domain Ω. We characterize the operators T that intertwine with the multiplication operators acting on X.
Intervention de la bornologie dans la convexité holomorphe
Intrinsic atomic characterizations of function spaces on domains.
Intrinsic characterizations of distribution spaces on domains
We give characterizations of Besov and Triebel-Lizorkin spaces and in smooth domains via convolutions with compactly supported smooth kernels satisfying some moment conditions. The results for s ∈ ℝ, 0 < p,q ≤ ∞ are stated in terms of the mixed norm of a certain maximal function of a distribution. For s ∈ ℝ, 1 ≤ p ≤ ∞, 0 < q ≤ ∞ characterizations without use of maximal functions are also obtained.
Invariance par difféomorphisme d'espace de Sobolev. Espace de Sobolev d'une variété. Applications
Invariant distances and invariant differential metrics in locally convex spaces
Invariant Hilbert spaces of holomorphic functions.
Invariant inner product in spaces of holomorphic functions on bounded symmetric domains.
Invariant norms for C(T)
Invariant subspaces of L... and H... .
Invariant subspaces of the Dirichlet shift.
Invariant subspaces on multiply connected domains.
The lattice of invariant subspaces of several Banach spaces of analytic functions on the unit disk, for example the Bergman spaces and the Dirichlet spaces, have been studied recently. A natural question is to what extent these investigations carry over to analogously defined spaces on an annulus. We consider this question in the context of general Banach spaces of analytic functions on finitely connected domains Ω. The main result reads as follows: Assume that B is a Banach space of analytic functions...
Inverse images of function sectors in the weighted Bergman space.