Józef Marcinkiewicz (1910-1940) - on the centenary of his birth

• Autorzy: Lech Maligranda
• Języki publikacji: EN

Abstrakty

EN

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 $100^{th}$ anniversary of his birth and $70^{th}$ 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, and for the period 1933-1940, when he achieved scientific titles, was working at the university, did his army services and was staying abroad. Part 3 contains a list of different activities to celebrate the memory of Marcinkiewicz. In part 4, scientific achievements in mathematics, including the results associated with his name, are discussed. Marcinkiewicz worked in functional analysis, probability, theory of real and complex functions, trigonometric series, Fourier series, orthogonal series and approximation theory. He wrote 55 scientific papers in six years (1933-1939). Marcinkiewicz's name in mathematics is connected with the Marcinkiewicz interpolation theorem, Marcinkiewicz spaces, the Marcinkiewicz integral and function, Marcinkiewicz-Zygmund inequalities, the Marcinkiewicz-Zygmund strong law of large numbers, the Marcinkiewicz multiplier theorem, the Marcinkiewicz-Salem conjecture, the Marcinkiewicz theorem on the characteristic function and the Marcinkiewicz theorem on the Perron integral. Books and papers containing Marcinkiewicz's mathematical results are cited in part 4 just after the discussion of his mathematical achievements. The work ends with a full list of Marcinkiewicz's scientific papers and a list of articles devoted to him.

Kategorie tematyczne

• 42B15: Multipliers
• 26D05: Inequalities for trigonometric functions and polynomials
• 26D15: Inequalities for sums, series and integrals
• 41A10: Approximation by polynomials
• 60E15: Inequalities; stochastic orderings
• 28A15: Abstract differentiation theory, differentiation of set functions
• 01A60: 20th century
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 01A70: Biographies, obituaries, personalia, bibliographies
• 46B70: Interpolation between normed linear spaces
• 60E10: Characteristic functions; other transforms
• 60F15: Strong theorems
• 46B09: Probabilistic methods in Banach space theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 95
• Numer: 1
• Strony: 133-234

Daty

wydano

2011

Twórcy

autor

Lech Maligranda

• Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden

Identyfikatory

DOI

10.4064/bc95-0-10