Markov Chains, Riesz Transforms and Lipschitz Maps.
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K. Ball (1992)
Geometric and functional analysis
Anthony Carbery, Fulvio Ricci, James Wright (1998)
Revista Matemática Iberoamericana
Ben Salem, N., Ould Ahmed Salem, A., Selmi, B. (2006)
Fractional Calculus and Applied Analysis
2000 Mathematics Subject Classification: 34K99, 44A15, 44A35, 42A75, 42A63Using a convolution structure on the real line associated with the Jacobi-Dunkl differential-difference operator Λα,β given by: Λα,βf(x) = f'(x) + ((2α + 1) coth x + (2β + 1) tanh x) { ( f(x) − f(−x) ) / 2 }, α ≥ β ≥ −1/2 , we define mean-periodic functions associated with Λα,β. We characterize these functions as an expansion series intervening appropriate elementary functions expressed in terms of the derivatives of the...
Golubov, B.I. (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Michael Christ (2005/2006)
Séminaire Bourbaki
In a series of papers beginning in the late 1990s, Michael Lacey and Christoph Thiele have resolved a longstanding conjecture of Calderón regarding certain very singular integral operators, given a transparent proof of Carleson’s theorem on the almost everywhere convergence of Fourier series, and initiated a slew of further developments. The hallmarks of these problems are multilinearity as opposed to mere linearity, and especially modulation symmetry. By modulation is meant multiplication by characters...
Banerji, P.K., Al-Omari, S.K. (2006)
International Journal of Mathematics and Mathematical Sciences
A.S. jr. Cavaretta, C.A. Micchelli (1980)
Mathematische Zeitschrift
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