On the Vitali covering properties of a differentiation basis
On the weak space and singular measures
We study the class of singular measures whose Fourier partial sums converge to 0 in the metric of the weak space; symmetric sets of constant ratio occur in an unexpected way.
On the weak star uniformly rotund points of Orlicz spaces.
We obtain the necessary and sufficient condition of weak star uniformly rotund point in Orlicz spaces.
On the WM points of Orlicz function spaces endowed with Luxemburg norm.
The concept of WM point is introduced and the criterion of WM property in Orlicz function spaces endowed with Luxemburg norm is given.
On the WM points of Orlicz function spaces endowed with Orlicz norm.
In this paper, we introduce the concept of WM point and obtain the criterion of WM points for Orlicz function spaces endowed with Orlicz norm and the criterion of WM property for Orlicz space.
On the WM property of Orlicz sequence spaces endowed with the Orlicz norm
We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz norm.
On the -convergence of Laplace-Beltrami operators in the plane.
On the -property of Orlicz space
On two classes of weighted Sobolev-Slobodetskiĭ spaces in a dihedral angle
On two properties of Zorn type for locally convex spaces
On two reverse inequalities in the Segal-Bargmann space.
On typical Markov operators acting on Borel measures.
On unconditional polynomial bases of the space
On uniformly nonsquare points and nonsquare points of Orlicz spaces
For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
On uniqueness of distribution of a random variable whose independent copies span a subspace in
Let 1 ≤ p < 2 and let be the classical -space of all (classes of) p-integrable functions on [0,1]. It is known that a sequence of independent copies of a mean zero random variable spans in a subspace isomorphic to some Orlicz sequence space . We give precise connections between M and f and establish conditions under which the distribution of a random variable whose independent copies span in is essentially unique.
On unitary equivalence of invariant subspaces of the Dirichlet space
It is shown that in the Dirichlet space , two invariant subspaces ℳ ₁, ℳ ₂ of the Dirichlet shift are unitarily equivalent only if ℳ ₁ = ℳ ₂.
On unitary equivalence of quasi-free Hilbert modules
We characterize unitary equivalence of quasi-free Hilbert modules, which complements Douglas and Misra's earlier work [New York J. Math. 11 (2005)]. We first confine our arguments to the classical setting of reproducing Hilbert spaces and then relate our result to equivalence of Hermitian vector bundles.
On vector measures which have everywhere infinite variation or noncompact range [Book]
On vector valued measure spaces of bounded -variation containing copies of
Given a Young function , we study the existence of copies of and in and in , the countably additive, -continuous, and -valued measure spaces of bounded -variation and bounded -semivariation, respectively.
On vector-topological properties of zero-neighbourhoods of topological vector spaces