Displaying similar documents to “A functional analysis approach to Arnold diffusion”

Rough maximal functions and rough singular integral operators applied to integrable radial functions.

Peter Sjögren, Fernando Soria (1997)

Revista Matemática Iberoamericana

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Let Ω be homogeneous of degree 0 in R and integrable on the unit sphere. A rough maximal operator is obtained by inserting a factor Ω in the definition of the ordinary maximal function. Rough singular integral operators are given by principal value kernels Ω(y) / |y|, provided that the mean value of Ω vanishes. In an earlier paper, the authors showed that a two-dimensional rough maximal operator is of weak type (1,1) when restricted to radial functions. This result is now extended to...

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J. Mikusiński (1959)

Studia Mathematica

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The stability study of a plane engine

Rafał Kołodziej, Tomasz Nowicki (2000)

Applicationes Mathematicae

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We study the dynamical properties of a plane engine vibrations modelled by a system of ODE.