The band generated by homomorphisms on Banach lattices.
This paper will consider the closure of the set of operators which may be expressed as a sum of lattice homomorphisms whose range is contained in a Dedekind complete Banch lattice.
The barrelled topology associated with the compact-open topology on H(U) and H(K)
The basic properties of Bloch functions.
The basis properties of power systems in .
The behaviour of the eigenvalues for a class of operators related to some self-affine fractals in .
The Bergman projection on harmonic functions
The Bergman projection on weighted spaces: L¹ and Herz spaces
We find necessary and sufficient conditions on radial weights w on the unit disc so that the Bergman type projections of Forelli-Rudin are bounded on L¹(w) and in the Herz spaces .
The best constant in the Khintchine inequality for complex Steinhaus variables, the case p=1
The best constant in weighted Poincaré and Friedrichs inequalities
The best constant of Sobolev inequality corresponding to clamped boundary value problem.
The best L2-approximation by finite sums of functions with separable variables.
The bilinear maximal functions map into for .
The Bloch space for the minimal ball
We introduce the Bloch space for the minimal ball and we prove that this space can be identified with the dual of a certain analytic space which is strongly related to the Bergman theory on the minimal ball.
The block decomposition of the weighted Besov spaces
The Bohr-Pál theorem and the Sobolev space
The well-known Bohr-Pál theorem asserts that for every continuous real-valued function f on the circle there exists a change of variable, i.e., a homeomorphism h of onto itself, such that the Fourier series of the superposition f ∘ h converges uniformly. Subsequent improvements of this result imply that actually there exists a homeomorphism that brings f into the Sobolev space . This refined version of the Bohr-Pál theorem does not extend to complex-valued functions. We show that if α < 1/2,...
The Bornological Topology on the Space of Holomorphic Mappings on a Banach Space.
The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces
The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted variable Lebesgue space.
The boundedness of multilinear commutators of singular integrals on Lebesgue spaces with variable exponent
The boundednees of multilinear commutators of Calderón-Zygmund singular integrals on Lebesgue spaces with variable exponent is obtained. The multilinear commutators of generalized Hardy-Littlewood maximal operator are also considered.
The C k Space
In this article, we formalize continuous differentiability of realvalued functions on n-dimensional real normed linear spaces. Next, we give a definition of the Ck space according to [23].
The C*-Algebra of a Singular Elliptic Problem on a Noncompact Riemannian Manifold.