$(L_p, L_q)$ estimates of potentials with oscillating kernel

Details $(L_p, L_q)$ estimates of potentials with oscillating kernel $(L_p, L_q)$ estimates of potentials with oscillating kernel

2002-07-11

arxiv.org/abs/math/0207095v1

Mathematics

Classical Analysis and ODEs

LaTex, 21 pages

Scientific paper

$(L_p, L_q)$ estimates are obtained for oscillatory potentials $(K^\alphaf)(x)=\int\limits_{R^n}\frac{\exp(i|y|)}{|y|^{n-\alpha}}f(x-y)dy$, $0<\alpha

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