The Muckenhoupt class A₁(R)

• Autorzy: B. Bojarski , C. Sbordone , I. Wik
• Języki publikacji: EN

Abstrakty

EN

It is shown that the Muckenhoupt structure constants for f and f* on the real line are the same.

Kategorie tematyczne

• 26D15: Inequalities for sums, series and integrals
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1991-1992
• Tom: 101
• Numer: 2
• Strony: 155-163

Daty

wydano

1992

otrzymano

1990-10-23

Twórcy

autor

B. Bojarski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, Sweden, 00-950 Warszawa, Poland

autor

C. Sbordone

• Dipartimento di Matematica e Applicazioni, Università Degli Studi di Milano, Via Mezzocannone, 8, I-80134 Napoli, Italy

autor

I. Wik

• Department of Mathematics, University of Umeå, S-901 87 Umeå, Sweden

Bibliografia

• [1] C. Bennett and R. Sharpley, Interpolation of Operators, Academic Press, 1988.
• [2] B. Muckenhoupt, Weighted inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226.
• [3] A. Torchinsky, Real-Variable Methods in Harmonic Analysis, Academic Press, 1986.
• [4] I. Wik, On Muckenhoupt's classes of weight functions, Studia Math. 94 (1989), 245-255.