Finitely generated ideals in the Banach algebra H∞.
Finite-rank intermediate Hankel operators on the Bergman space.
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces.
Fractional integration on Hardy spaces
Funciones unimodulares y acotación uniforme.
In this paper we study the role that unimodular functions play in deciding the uniform boundedness of sets of continuous linear functionals on various function spaces. For instance, inner functions are a UBD-set in H∞ with the weak-star topology.
Function Algebras and Flows. III.
Gelfand transform for a Boehmian space of analytic functions
Let denote the usual commutative Banach algebra of bounded analytic functions on the open unit disc of the finite complex plane, under Hadamard product of power series. We construct a Boehmian space which includes the Banach algebra A where A is the commutative Banach algebra with unit containing . The Gelfand transform theory is extended to this setup along with the usual classical properties. The image is also a Boehmian space which includes the Banach algebra C(Δ) of continuous functions on...
is a Grothendieck space
-spaces of conjugate systems on local fields
spaces on bounded symmetric domains
spaces over open subsets of
H² spaces of generalized half-planes
Hankel Operators on Bergman Spaces with Change of Weight.
Ha-Plitz Operators between Moebius Invariant Subspaces.
Hardy space estimates for multilinear operators (I).
In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the Hp space context.
Hardy space estimates for multilinear operators (II).
We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces Lp(Rn) into the Hardy spaces Hr(Rn). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.
Hardy space H1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality.
Let {Tt}t>0 be the semigroup of linear operators generated by a Schrödinger operator -A = Δ - V, where V is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space HA1 by means of a maximal function associated with the semigroup {Tt}t>0. Atomic and Riesz transforms characterizations of HA1 are shown.
Hardy spaces H¹ for Schrödinger operators with certain potentials
Let be the semigroup of linear operators generated by a Schrödinger operator -L = Δ - V with V ≥ 0. We say that f belongs to if . We state conditions on V and which allow us to give an atomic characterization of the space .
Hardy-Lorentz spaces and expansions in eigenfunctions of the Laplace-Beltrami operator on compact manifolds
Hardy-type spaces of harmonic functions on symmetric spaces on noncompact type.