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An X-ray transform estimate in Rn.

Izabella Laba, Terence Tao (2001)

Revista Matemática Iberoamericana

We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13], which dealt with the n = 3 case.

Análisis de las singularidades de una ecuación diferencial fraccionaria no lineal.

Luis Vázquez (2005)

RACSAM

Se exponen las estimaciones numéricas preliminares de las singularidades de una ecuación diferencial fraccionaria no lineal. Dicha ecuación aparece en el estudio de las ondas viajeras asociadas a una ecuación de ondas que es una interpolación entre la ecuación de ondas clásica y la ecuación de Benjamin-Ono.

Around Widder’s characterization of the Laplace transform of an element of L ( + )

Jan Kisyński (2000)

Annales Polonici Mathematici

Let ϰ be a positive, continuous, submultiplicative function on + such that l i m t e - ω t t - α ϰ ( t ) = a for some ω ∈ ℝ, α ∈ + ¯ and a + . For every λ ∈ (ω,∞) let ϕ λ ( t ) = e - λ t for t + . Let L ϰ 1 ( + ) be the space of functions Lebesgue integrable on + with weight ϰ , and let E be a Banach space. Consider the map ϕ : ( ω , ) λ ϕ λ L ϰ 1 ( + ) . Theorem 5.1 of the present paper characterizes the range of the linear map T T ϕ defined on L ( L ϰ 1 ( + ) ; E ) , generalizing a result established by B. Hennig and F. Neubrander for ϰ ( t ) = e ω t . If ϰ ≡ 1 and E =ℝ then Theorem 5.1 reduces to D. V. Widder’s characterization...

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