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

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.

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.

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     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},
     pages = {1359--1384},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {46},
     number = {5},
     year = {1996},
     doi = {10.5802/aif.1553},
     mrnumber = {98a:42008},
     zbl = {0898.42003},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.1553/}
}
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Iosevich, Alex; Sawyer, Eric. Sharp $L^p-L^q$ estimates for a class of averaging operators. Annales de l'Institut Fourier, Tome 46 (1996) no. 5, pp. 1359-1384. doi : 10.5802/aif.1553. http://www.numdam.org/articles/10.5802/aif.1553/

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