is a Grothendieck space
-operators in ideal spaces with mixed quasinorm .
estimates for weakly strongly singular integral operators on spaces of homogeneous type
spaces associated with Schrödinger operators with potentials from reverse Hölder classes
Let A = -Δ + V be a Schrödinger operator on , d ≥ 3, where V is a nonnegative potential satisfying the reverse Hölder inequality with an exponent q > d/2. We say that f is an element of if the maximal function belongs to , where is the semigroup generated by -A. It is proved that for d/(d+1) < p ≤ 1 the space admits a special atomic decomposition.
H1/2 maps with values into the circle : minimal connections, lifting, and the Ginzburg–Landau equation
Haar measure and continuous representations of locally compact abelian groups
Let (X) be the algebra of all bounded operators on a Banach space X, and let θ: G → (X) be a strongly continuous representation of a locally compact and second countable abelian group G on X. Set σ¹(θ(g)): = λ/|λ| | λ ∈ σ(θ(g)), where σ(θ(g)) is the spectrum of θ(g), and let be the set of all g ∈ G such that σ¹(θ(g)) does not contain any regular polygon of (by a regular polygon we mean the image under a rotation of a closed subgroup of the unit circle different from 1). We prove that θ is uniformly...
Hahn-Banach type theorems for adjoint semigroups.
Halbgruppen und semilineare Anfangs-Randwertprobleme.
Halpern's iteration in CAT(0) spaces.
Hamiltonians with zero-range interactions supported by a brownian path
Hamiltonien périodique de surface : désintégration de Floquet
Hammerstein equations with an integral over a noncompact domain
The existence of solutions of Hammerstein equations in the space of bounded and continuous functions is proved. It is obtained by the Schauder fixed point theorem using a compactness theorem. The result is applied to Wiener-Hopf equations and to ODE's.
Hammerstein integral equations with indefinite kernel.
Hammerstein–Nemytskii Type Nonlinear Integral Equations on Half-line in Space
The paper studies a construction of nontrivial solution for a class of Hammerstein–Nemytskii type nonlinear integral equations on half-line with noncompact Hammerstein integral operator, which belongs to space . This class of equations is the natural generalization of Wiener-Hopf type conservative integral equations. Examples are given to illustrate the results. For one type of considering equations continuity and uniqueness of the solution is established.
Hankel forms
It is an open question whether Nehari's theorem on the circle group has an analogue on the infinite-dimensional torus. In this note it is shown that if the analogue holds, then some interesting inequalities follow for certain trigonometric polynomials on the torus. We think these inequalities are false but are not able to prove that.
Hankel forms and the Fock space.
Hankel multipliers and transplantation operators
Connections between Hankel transforms of different order for -functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch]. Further relations result from projection formulae for Bessel functions of different order. Consequences for Hankel multipliers are exhibited and implications for radial Fourier multipliers on Euclidean spaces of different dimensions indicated.
Hankel operators and the Dixmier trace on strictly pseudoconvex domains.
Hankel operators and weak factorization for Hardy-Orlicz spaces
We study the holomorphic Hardy-Orlicz spaces , where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in ℂⁿ. The function Φ is in particular such that for some p > 0. We develop maximal characterizations, atomic and molecular decompositions. We then prove weak factorization theorems involving the space BMOA(Ω). As a consequence, we characterize those Hankel operators which are bounded from into ¹(Ω).
Hankel Operators on Bergman Spaces with Change of Weight.