Joint spectra
Józef Marcinkiewicz (1910-1940) - on the centenary of his birth
Józef Marcinkiewicz’s (1910-1940) name is not known by many people, except maybe a small group of mathematicians, although his influence on the analysis and probability theory of the twentieth century was enormous. This survey of his life and work is in honour of the anniversary of his birth and anniversary of his death. The discussion is divided into two periods of Marcinkiewicz’s life. First, 1910-1933, that is, from his birth to his graduation from the University of Stefan Batory in Vilnius,...
Józef Marcinkiewicz: analysis and probability
We briefly review Marcinkiewicz's work, on analysis, on probability, and on the interplay between the two. Our emphasis is on the continuing vitality of Marcinkiewicz's work, as evidenced by its influence on the standard works. What is striking is how many of the themes that Marcinkiewicz studied (alone, or with Zygmund) are very much alive today. What this demonstrates is that Marcinkiewicz and Zygmund, as well as having extraordinary mathematical ability, also had excellent mathematical taste.
Jung constants of Orlicz function spaces.
Estimation of the Jung constants of Orlicz function spaces equipped with either Luxemburg norm or Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz function spaces have been found by using a new quantitative index of N-functions.
Kernel-Type Compactness Criteria in LEp Spaces.
Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces
We study the class of all rearrangement-invariant ( = r.i.) function spaces E on [0,1] such that there exists 0 < q < 1 for which , where is an arbitrary sequence of independent identically distributed symmetric random variables on [0,1] and C > 0 does not depend on n. We completely characterize all Lorentz spaces having this property and complement classical results of Rodin and Semenov for Orlicz spaces , p ≥ 1. We further apply our results to the study of Banach-Saks index sets in...
-Correspondences: The inclusion .
estimates for the Cauchy transforms of distributions with respect to convex cones
-cohomology of warped cylinders
We extend some results by Goldshtein, Kuzminov, and Shvedov about the -cohomology of warped cylinders to -cohomology for . As an application, we establish some sufficient conditions for the nontriviality of the -torsion of a surface of revolution.
-Struktur in Banachräumen
-Struktur in Banachräumen II
spaces and their application to elliptic partial differential operators
L1-Räume und Liftings von Operatoren nach Quotienten lokalkonvexer Räume.
La convolution dans faible de
La propiedad de Radon-Nikodym en espacios de Banach duales.
Lacunary convergence of series in L0 revisited.
A simpler proof is given for the recent result of I. Labuda and the author that a series in the space L0 (lambda) is subseries convergent if each of its lacunary subseries converges.
Lambert multipliers between spaces
In this paper Lambert multipliers acting between spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated.
L’analogue dans des théorèmes de convexité de M. Riesz et G. O. Thorin
Landau type theoerem for Orlicz spaces.
Landau-type inequalities and -bounded solutions of neutral delay systems.