On the Existence of Uniformly Distributed Sequences in Compact Topological Spaces II.
On the expansion theorem described by spaces.
On the exponential Orlicz norms of stopped Brownian motion
Necessary and sufficient conditions are found for the exponential Orlicz norm (generated by with 0 < p ≤ 2) of or to be finite, where is a standard Brownian motion and τ is a stopping time for B. The conditions are in terms of the moments of the stopping time τ. For instance, we find that as soon as for some constant C > 0 as k → ∞ (or equivalently ). In particular, if τ ∼ Exp(λ) or then the last condition is satisfied, and we obtain with some universal constant K > 0....
On the extension of Lipschitz maps with values in a Fréchet space
On the extension of Lipschitz-Hölder maps on spaces
On the extension of Lipschitz-Hölder maps on Orlicz spaces
On the extrema of integrable functions.
On the extremal points of the closed unit balls in some abstract spaces
On the Extreme Points and Strongly Extreme Points in Köther-Bochner Spaces
On the Forelli-Rudin construction and weighted Bergman projections
On the generalized Hardy spaces.
On the generalized Hardy's inequality of McGhee, Pigno and Smith and the problem of interpolation between BMO and a Besov space.
On the generalized Morrey spaces.
On the Gram-Schmidt orthonormalizatons of subsystems of Schauder systems
In one of the earliest monographs that involve the notion of a Schauder basis, Franklin showed that the Gram-Schmidt orthonormalization of a certain Schauder basis for the Banach space of functions continuous on [0,1] is again a Schauder basis for that space. Subsequently, Ciesielski observed that the Gram-Schmidt orthonormalization of any Schauder system is a Schauder basis not only for C[0,1], but also for each of the spaces , 1 ≤ p < ∞. Although perhaps not probable, the latter result would...
On the Hardy-type integral operators in Banach function spaces.
Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.
On the Hausdorff-Young Theorem for Amalgams.
On the ideal structure of algebras of LMC-algebra valued functions
Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.
On the inclusions of spaces
We give some equivalent conditions (independent from the Young functions) for inclusions between some classes of spaces, where is a Young function and is a quasi-Banach function space on a -finite measure space .
On the indicator of growth of entire functions of exponential type in infinite dimensional spaces and the Levi problem in infinite dimensional projective spaces.
On the intersection of Sobolev spaces