The Hölder duality for harmonic functions
The level function in rearrangement invariant spaces.
An exact expression for the down norm is given in terms of the level function on all rearrangement invariant spaces and a useful approximate expression is given for the down norm on all rearrangement invariant spaces whose upper Boyd index is not one.
The Lindelöf property and σ-fragmentability
In the previous paper, we, together with J. Orihuela, showed that a compact subset X of the product space is fragmented by the uniform metric if and only if X is Lindelöf with respect to the topology γ(D) of uniform convergence on countable subsets of D. In the present paper we generalize the previous result to the case where X is K-analytic. Stated more precisely, a K-analytic subspace X of is σ-fragmented by the uniform metric if and only if (X,γ(D)) is Lindelöf, and if this is the case then...
The logarithmic asymptotic expansions for the norms of evaluation functionals.
The martingale Smirnov class.
The multipliers of a space of almost convergent continuous functions
The Radon measures as functionals on Lipschitz functions
The Space of Differences of Convex Functions on [0, 1]
∗Participant in Workshop in Linear Analysis and Probability, Texas A & M University, College Station, Texas, 2000. Research partially supported by the Edmund Landau Center for Research in Mathematical Analysis and related areas, sponsored by Minerva Foundation (Germany).The space K[0, 1] of differences of convex functions on the closed interval [0, 1] is investigated as a dual Banach space. It is proved that a continuous function f on [0, 1] belongs to K[0, 1]
The Unique Extremal QC Mapping and Uniqueness of Hahn-Banach Extensions
The -boundary of weighted spaces of holomorphic functions.
The -function in the space .
Toeplitz operators on Bergman spaces and Hardy multipliers
We study Toeplitz operators with radial symbols in weighted Bergman spaces , 1 < p < ∞, on the disc. Using a decomposition of into finite-dimensional subspaces the operator can be considered as a coefficient multiplier. This leads to new results on boundedness of and also shows a connection with Hardy space multipliers. Using another method we also prove a necessary and sufficient condition for the boundedness of for a satisfying an assumption on the positivity of certain indefinite...
Toeplitz operators related to certain domains in
Topics in dyadic Dirichlet spaces.
Topics on analytic sets
Topological conditions for bound-2 isomorphisms of C(X)
We establish the topological relationship between compact Hausdorff spaces X and Y equivalent to the existence of a bound-2 isomorphism of the sup norm Banach spaces C(X) and C(Y).
Trace de Cauchy pour certaines founctions localement intégrables sur un ouvert borné de C.
Traces of potentials arising from translation invariant operators
Transformaciones entre espacios de funciones continuas casi convergentes.
Triebel-Lizorkin spaces on spaces of homogeneous type
In [HS] the Besov and Triebel-Lizorkin spaces on spaces of homogeneous type were introduced. In this paper, the Triebel-Lizorkin spaces on spaces of homogeneous type are generalized to the case where , and a new atomic decomposition for these spaces is obtained. As a consequence, we give the Littlewood-Paley characterization of Hardy spaces on spaces of homogeneous type which were introduced by the maximal function characterization in [MS2].