Sharp ${L}^{p}-{L}^{q}$ estimates for a class of averaging operators
Annales de l'Institut Fourier, Volume 46 (1996) no. 5, p. 1359-1384

Sharp ${L}^{p}-{L}^{q}$ estimates are obtained for averaging operators associated to hypersurfaces in ${R}^{n}$ given as graphs of homogeneous functions. An application to the regularity of an initial value problem is given.

On obtient des estimations ${L}^{p}-{L}^{q}$ pour des opérateurs maximaux associés à des hypersurfaces de ${R}^{n}$ qui sont des graphes de fonctions homogènes. On en déduit un théorème de régularité pour les solutions d’une certaine équation aux dérivées partielles linéaire.

@article{AIF_1996__46_5_1359_0,
author = {Iosevich, Alex and Sawyer, Eric},
title = {Sharp $L^p-L^q$ estimates for a class of averaging operators},
journal = {Annales de l'Institut Fourier},
publisher = {Association des Annales de l'institut Fourier},
volume = {46},
number = {5},
year = {1996},
pages = {1359-1384},
doi = {10.5802/aif.1553},
zbl = {0898.42003},
mrnumber = {98a:42008},
language = {en},
url = {http://www.numdam.org/item/AIF_1996__46_5_1359_0}
}

Iosevich, Alex; Sawyer, Eric. Sharp $L^p-L^q$ estimates for a class of averaging operators. Annales de l'Institut Fourier, Volume 46 (1996) no. 5, pp. 1359-1384. doi : 10.5802/aif.1553. http://www.numdam.org/item/AIF_1996__46_5_1359_0/

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