Hölder weight estimates of Riesz-Bessel singular integrals generated by a generalized shift operator.
Hölder's inequality for roots of symmetric operator spaces
We prove a version of Hölder's inequality with a constant for pth roots of symmetric operator spaces of operators affiliated to a semifinite von Neumann algebra factor, and with constant equal to 1 for strongly symmetric operator spaces.
Holomorphe Störungstheorie in lokalkonvexen Räumen.
Holomorphic automorphism groups in certain compact operator spaces
A class of Banach spaces of compact operators in Hilbert spaces is introduced, and the holomorphic automorphism groups of the unit balls of these spaces are investigated.
Holomorphic continuations of C0-groups on Banach spaces.
Holomorphic C-semigroups and holomorphic semigroups.
Holomorphic Families of Dirac Operators.
Holomorphic Operator Families and Stability of Selfadjointness.
Holomorphic Relative Inverses of Operator Valued Functions.
Holomorphic resolvent for integrodifferential equation with completely positive measure.
Holomorphic retractions and boundary Berezin transforms
In an earlier paper, the first two authors have shown that the convolution of a function continuous on the closure of a Cartan domain and a -invariant finite measure on that domain is again continuous on the closure, and, moreover, its restriction to any boundary face depends only on the restriction of to and is equal to the convolution, in , of the latter restriction with some measure on uniquely determined by . In this article, we give an explicit formula for in terms of ,...
Holomorphic semigroups in interpolation and extrapolation spaces.
Holomorphic semigroups of holomorphic isometries
A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.
Holomorphy of the Dirac resolvent with relatively form bounded potentials
Holomorphy types and ideals of multilinear mappings
We explore a condition under which the ideal of polynomials generated by an ideal of multilinear mappings between Banach spaces is a global holomorphy type. After some examples and applications, this condition is studied in its own right. A final section provides applications to the ideals formed by multilinear mappings and polynomials which are absolutely (p;q)-summing at every point.
Holomorphy types and spaces of entire functions of bounded type on Banach spaces
In this paper spaces of entire functions of -holomorphy type of bounded type are introduced and results involving these spaces are proved. In particular, we “construct an algorithm” to obtain a duality result via the Borel transform and to prove existence and approximation results for convolution equations. The results we prove generalize previous results of this type due to B. Malgrange: Existence et approximation des équations aux dérivées partielles et des équations des convolutions. Annales...
Homeomorphisms and Fredholm theory for perturbations of nonlinear Fredholm maps of index zero with applications.
Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator
Systems of operator-differential equations with hysteresis operators can have unstable equilibrium points with an open basin of attraction. Such equilibria can have homoclinic orbits attached to them, and these orbits are robust. In this paper a population dynamics model with hysteretic response of the prey to variations of the predator is introduced. In this model the prey moves between two patches, and the derivative of the Preisach operator is used to describe the hysteretic flow between the...
Homoclinic solutions for linear and linearizable ordinary differential equations.
Homogeneous operators