Oscillation and variation for singular integrals in higher dimensions

DOI10.1090/S0002-9947-02-03189-6zbMath1022.42012MaRDI QIDQ4794619

Roger L. Jones, Karin Reinhold, James T. Campbell, Máté Wierdl

Publication date: 19 February 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

oscillationsingular integralsupcrossing inequalitiessquare functionsvariationjump inequalities

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Convergence and divergence of series and sequences of functions (40A30)

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Cites Work

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• Weak type (1,1) bounds for rough operators. II
• Discrete analogues of singular and maximal Radon transforms
• Variation in probability, ergodic theory and analysis
• A theory of entropy in Fourier analysis
• The \(p\)-variation of partial sum processes and the empirical process
• Oscillation in ergodic theory: Higher dimensional results
• Intertwining operators for semisimple groups
• On the existence of certain singular integrals
• On Singular Integrals
• Another Proof of the Existence of the Ergodic Hilbert Transform
• Oscillation in ergodic theory
• Square functions in ergodic theory
• Discrete analogues of singular Radon transforms
• Jacobians of curves over finite fields

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