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∗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]
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...
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).
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].
We give some explicit values of the constants and in the inequality where denotes the norm of the Bergman projection on the space.
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