The Fourier Transform of Herz Spaces on Certain Groups.
The fractional integral between weighted Orlicz and spaces on spaces of homogeneous type
In this work we give sufficient and necessary conditions for the boundedness of the fractional integral operator acting between weighted Orlicz spaces and suitable spaces, in the general setting of spaces of homogeneous type. This result generalizes those contained in [P1] and [P2] about the boundedness of the same operator acting between weighted and Lipschitz integral spaces on . We also give some properties of the classes of pairs of weights appearing in connection with this boundedness.
The Fréchet envelopes of vector-valued Smirnov classes
The Functional Equation
The functionals of the kind of Banach limits.
The functor σ²X
We disprove the existence of a universal object in several classes of spaces including the class of weakly Lindelöf Banach spaces.
The general complex case of the Bernstein-Nachbin approximation problem
We present a solution to the (strict) Bernstein-Nachbin approximation problem in the general complex case. As a corollary, we get proofs of the analytic, the quasi-analytic, and the bounded criteria for localizability in the general complex case. This generalizes the known results of the real or self-adjoint complex cases, in the same way that Bishop’s Theorem generalizes the Weierstrass-Stone Theorem. However, even in the real or self-adjoint complex cases, the results that we obtain are stronger...
The general form of local bilinear functions
The scalar product of the FEM basis functions with non-intersecting supports vanishes. This property is generalized and the concept of local bilinear functional in a Hilbert space is introduced. The general form of such functionals in the spaces and is given.
The generalization of Cellina's Fixed Point Theorem
The generalized Hardy operator with kernel and variable integral limits in Banach function spaces.
The generalized three circle- and other convexity theorems with application to the construction of envelopes of holomorphy
The geometry of Markov diffusion generators
The Gleason problem for , , .
The Gleason-Kahane-Zelazko theorem and function algebras
A theorem due to A. Gleason, J.-P. Kahane and W. Zelazko characterizes continuous characters within the space of all continuous linear forms of a locally multiplicatively convex, sequentially complete algebra. The present paper applies these results to investigate linear isometries of Banach algebras (with particular attention to normal uniform algebras) and of some locally multiplicatively convex algebras. The locally multiplicatively convex algebra of all holomorphic functions on a domain, will...
The Gliding Hump Property in Vector Sequence Spaces.
The heredity problem for weakly compactly generated Banach spaces
The Hölder duality for harmonic functions
The homogeneous Dirichlet problem for non-elliptic partial differential equations with strong nonlinearities
The importance of being Orlicz
The integral wavelet transform in weighted Sobolev spaces.