CONTENTS0. Introduction.............................................................................51. Submultiplicative functions and indices...................................72. Indices of measurable functions...........................................123. Indices of Orlicz spaces........................................................194. Indices of rearrangement invariant spaces...........................255. Interpolation theorems for weak type operators....................296. Some additional...
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,...
This is a brief biography of the Polish mathematician Władysław Orlicz (mostly known for Orlicz spaces), one of the members of the famous Lwów School of Mathematics (Polish School of Analysis in Lwów) who after World War II organized the Poznań School of Mathematics. This biography also includes his scientific achievements and many official scientific activities (honors and awards, membership in various scientific societies and editorial boards). There is a special section about Orlicz's connection...
Karol Hertz was a Polish mathematician, pedagogue and journalist in natural science. In years 1862-1866 studied at theWarsaw Main School at the Faculty of Mathematics and Physics, finishing with his master in 1866. In 1871 he received Ph. D. from the University of Halle and from 1867 he was working at the Second Gimnazjum inWarsaw. He has written three monographs, three text-books, some articles in mathematics and several articles of scientific character published in the journals Nature and Industry...
In the years 1933--2013 at the University of Poznań was awarded nine honorary doctorates for mathematicians, while two other candidates did not obtain the approval of a higher authority. Mathematicians from Poland and abroad received them. The purpose of this work is to provide information on nine mathematicians who were given the title and two persons who were refused. An important part of this description are photos attached to it.
Leonard Euler urodził się 15 kwietnia 1707 roku w Bazylei. W latach 1720-1723 odbył studia teologiczne na Wydziale Filozoficznym Uniwersytetu w Bazylei. Odnotujmy, że rozpoczynając studia miał zaledwie 13 lat! Dodatkowo studiował też matematykę i mechanikę pod kierunkiem Johana Bernoulliego. W 1725 roku napisał swoją pierwszą pracę naukową (miał wtedy tylko 18 lat).Omawianie szeregów w pracach Eulera rozbijemy na 4 części, a słynny rezultat o sumie odwrotności kwadratów wraz z uogólnieniami przedstawimy...
Gustaf Hjalmar Eneström urodził się 5 września 1852 roku w miejscowości Nora.Jego rodzicami byli Jacob Philip Eneström i Anna Augusta Lundquist. Ojciec był właścicielemkopalni węgla. Gustaf miał starszą siostrę Emmy, której właściwe nazwiskobrzmiało Emma Lovisa Eneström (1850-1936).
In the years 1869--1937, there were 15 Conventions of Polish Naturalists and Physicians. Since 1875, naturalists who have discussed in their several sections participated in the conventions. Mathematical conventions started in 1881 and finished in 1933. Three pre-war conventions: 1,900 in Krakow, 1907 in Lviv and 1911 in Krakow, gathered for over 1000 participants. At eight Congresses, starting from Congress IV in 1884, there were mathematical sections with lectures of mathematicians. It was then...
The present text contains information about the conference Polish School of Mathematics in the interwar period, which took place in Lens, France on 21-22 November 2014.
Eustachy Żyliński was a Polish mathematician, working in number theory, algebra, logic and foundations of mathematics. He has written over 20 scientific papers and 6 text-books. In the period 1919-1939 he was working at the University of Jan Kazimierz in Lwów and was a memeber of the so-called Lwów School of Mathematics. After the war, in the period 1946-1951, he was working at the Silesian University of Technology in Gliwice.
Stefan Marian Kaczmarz urodził się 20 marca 1895 roku w miejscowości Sambor (woj. lwowskie). Ochrzczony został 16 kwietnia 1895 roku. W dokumentach odnośnie religii czy wyznania czasami pisał, że jest wyznania grecko-katolickiego, a innym razemrzymsko-katolickiego.
Characterizations of weight functions are given for which integral inequalities of monotone and concave functions are satisfied. The constants in these inequalities are sharp and in the case of concave functions, constitute weighted forms of Favard-Berwald inequalities on finite and infinite intervals. Related inequalities, some of Hardy type, are also given.
We define Beurling-Orlicz spaces, weak Beurling-Orlicz spaces, Herz-Orlicz spaces, weak Herz-Orlicz spaces, central Morrey-Orlicz spaces and weak central Morrey-Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy-Littlewood maximal function on these spaces are investigated.
We study order convexity and concavity of quasi-Banach Lorentz spaces , where 0 < p < ∞ and w is a locally integrable positive weight function. We show first that contains an order isomorphic copy of . We then present complete criteria for lattice convexity and concavity as well as for upper and lower estimates for . We conclude with a characterization of the type and cotype of in the case when is a normable space.
Jan Ptaszycki was a Polish mathematician working in St. Petersburg in the period 1876–1912. In Poland, he is forgotten, and in Russia considered generally for Russian mathematician, known there as Ivan Lvovich Ptaszycki. There is no article about it on Polish , while there are three articles in Russian. In historical-mathematical Russian literature, depending on the author, it is reported that Ptaszycki was a Russian mathematician or, more rarely, a Polish mathematician as, for example, in [Lo15a]...
Celem artykułu jest zaprezentowanie dorobku naukowego i dydaktycznego Alfreda Rosenblatta (1880-1947). Zgromadziliśmy pierwszy kompletny spis jego artykułów i książek naukowych, z podziałem na: podręczniki i monografie, artykuły naukowe z zakresu matematyki i jej zastosowań, astronomii, historii matematyki w tym biografie oraz recenzje, tłumaczenia i inne. Zebraliśmy w publikowanych i niepublikowanych źródłach informacje o jego odczytach, w tym o odczytach i komunikatach na Międzynarodowych Kongresach...
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