Some remarks on Dvoretzky's theorem on almost spherical sections of convex bodies
Some remarks on Fourier seminorms
Some remarks on fractals generated by a sequence of finite systems of contractions.
Some Remarks on Functionals with the Tensorization Property
We investigate the subadditivity property (also known as the tensorization property) of φ-entropy functionals and their iterations. In particular we show that the only iterated φ-entropies with the tensorization property are iterated variances. This is a complement to the result due to Latała and Oleszkiewicz on characterization of the standard φ-entropies with the tensorization property.
Some remarks on Gleason measures
This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hilbert spaces.
Some Remarks on Indicatrices of Measurable Functions
We show that for a wide class of σ-algebras 𝓐, indicatrices of 𝓐-measurable functions admit the same characterization as indicatrices of Lebesgue-measurable functions. In particular, this applies to functions measurable in the sense of Marczewski.
Some remarks on paracompactness of GO-spaces
Some remarks on restriction of the Fourier tranform for general measures.
In this paper we establish a formal connection between the average decay of the Fourier transform of functions with respect to a given measure and the Hausdorff behavior of that measure. We also present a generalization of the classical restriction theorem of Stein and Tomas replacing the sphere with sets of prefixed Hausdorff dimension n - 1 + α, with 0 < α < 1.
Some remarks on second category sets
Some remarks on strong (M,φ)-summability
Some remarks on subgroups of real numbers
Some remarks on Suslin sections
Some remarks on the existence of doubly stochastic measures with latticework hairpin support.
Some remarks on the metrical transitivity of invariant and quasi-invariant measures
Some remarks on the relation of classical set-valued mappings to the Baire classification
Some remarks on the space .
Some results concerning polymeasures.
Some Results on Affine Transformations of Compact Groups.
Some Results on Analytic Spaces and Semi-Analytic Functions with Regard to Gambling Theory.
Some results on projection of planar sets
In this paper we define certain types of projections of planar sets and study some properties of such projections.