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math.CA2017
A conjecture of Antoni Zygmund
Antonio Córdoba, Eric Latorre, Ángel D. Martínez
In this paper we establish an exponential covering theorem implying a conjecture formulated by A. Zygmund circa 1935 whose three-dimensional case was obtained by the first named au…
math.CA2017
Integral representation for fractional Laplace-Beltrami operators
Diego Alonso-Oran, Antonio Cordoba, Angel D. Martinez
In this paper we provide an integral representation of the fractional Laplace-Beltrami operator for general riemannian manifolds which has several interesting applications. We give…