Almost Everywhere First-Return Recovery

• Autorzy: Michael J. Evans , Paul D. Humke
• Języki publikacji: EN

Abstrakty

EN

We present a new characterization of Lebesgue measurable functions; namely, a function f:[0,1]→ ℝ is measurable if and only if it is first-return recoverable almost everywhere. This result is established by demonstrating a connection between almost everywhere first-return recovery and a first-return process for yielding the integral of a measurable function.

Kategorie tematyczne

• 28A20: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
• 26A42: Integrals of Riemann, Stieltjes and Lebesgue type

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 2
• Strony: 185-195

Daty

wydano

2004

Twórcy

autor

Michael J. Evans

• Department of Mathematics, Washington and Lee University, Lexington, VA 24450, U.S.A.

autor

Paul D. Humke

• Department of Mathematics, St. Olaf College, Northfield, MN 45701, U.S.A.

Identyfikatory

DOI

10.4064/ba52-2-9