The uniaxial potential function (fonction de potentiel) and its orthogonal force function (fonction de force) contrasted
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G. Greenhill (1921)
Journal de Mathématiques Pures et Appliquées
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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...
Shibata, Tetsutaro (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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