Monotonic rearrangements of functions with small mean oscillation

• Autorzy: Dmitriy M. Stolyarov , Vasily I. Vasyunin , Pavel B. Zatitskiy
• Języki publikacji: EN

Abstrakty

EN

We obtain sharp bounds for the monotonic rearrangement operator from "dyadic-type" classes to "continuous" ones; in particular, for the BMO space and Muckenhoupt classes. The idea is to connect the problem with a simple geometric construction named α-extension.

Kategorie tematyczne

• 52A10: Convex sets in 2 dimensions (including convex curves)
• 42B35: Function spaces arising in harmonic analysis
• 60G46: Martingales and classical analysis

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 231
• Numer: 3
• Strony: 257-267

Daty

wydano

2015

Twórcy

autor

Dmitriy M. Stolyarov

• Institute of Mathematics, Polish Academy of Sciences, 00-656 Warszawa, Poland
• Chebyshev Laboratory, St. Petersburg State University, 14th Line V.O., 29B, 199178 St. Petersburg, Russia
• St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences (PDMI RAS), 27, Fontanka St., 191023 St. Petersburg, Russia

autor

Vasily I. Vasyunin

• St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences (PDMI RAS), 27, Fontanka St., 191023 St. Petersburg, Russia

autor

Pavel B. Zatitskiy

• Chebyshev Laboratory, St. Petersburg State University, 14th Line V.O., 29B, 199178 St. Petersburg, Russia
• St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences (PDMI RAS), 27, Fontanka St., 191023 St. Petersburg, Russia

Identyfikatory

DOI

10.4064/sm8326-2-2016