Boundaries of a Convex Set and Interpolation Sets.
Boundaries of weak peak points in noncommutative algebras of Lipschitz functions
It has been shown that any Banach algebra satisfying ‖f 2‖ = ‖f‖2 has a representation as an algebra of quaternion-valued continuous functions. Whereas some of the classical theory of algebras of continuous complex-valued functions extends immediately to algebras of quaternion-valued functions, similar work has not been done to analyze how the theory of algebras of complex-valued Lipschitz functions extends to algebras of quaternion-valued Lipschitz functions. Denote by Lip(X, ) the algebra over...
Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in ℂⁿ
We study the boundary behaviour of holomorphic functions in the Hardy-Sobolev spaces , where is a smooth, bounded convex domain of finite type in ℂⁿ, by describing the approach regions for such functions. In particular, we extend a phenomenon first discovered by Nagel-Rudin and Shapiro in the case of the unit disk, and later extended by Sueiro to the case of strongly pseudoconvex domains.
Boundary eigencurve problems involving the -Laplacian operator.
Boundary of polyhedral spaces: an alternative proof.
A Banach space X is called polyhedral if the unit ball of each one of its finite-dimensional (equivalently: two-dimensional [6]) subspaces is a polytope. Polyhedral spaces were studied by various authors; most of the structural results are due to V. Fonf. We refer the reader to the surveys [1], [2] for other definitions of polyhedrality, main properties and bibliography. In this paper we present a short alternative proof of the basic result on the structure of the unit ball of the polyhedral space...
Boundary spaces for inclusion map between rearrangement invariant spaces.
Boundary Value Characterizations for Weighted Hardy Spaces of Harmonic Functions.
Boundary value problems and singular integral equations on Banach function spaces [Book]
Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings.
Boundary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces
Boundary value problems for ordinary linear differential equations in the Colombeau algebra
Boundary value problems for quasielliptic systems.
Boundary value problems in weighted spaces
Boundary value representation for a class of Beurling ultradistributions
Boundary values for Sobolev-spaces with weights. Density of for > and
Boundary values of analytic semigroups and associated norm estimates
The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.
Boundary values of cohomology classes as hyperfunctions
Boundary values of harmonic functions in mixed norm spaces and their atomic structure
Boundary values of ultra-distributions of exponential type
Boundary values of vector-valued harmonic functions considered as operators