An Estimate for the Bochner-Riesz Operator on Functions of Product Type in $R^2$
TANAKA, Hitoshi
Tokyo J. of Math., Tome 24 (2001) no. 2, p. 567-578 / Harvested from Project Euclid
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In this paper we shall give $L^p(\mathbf{R}^2)$-boundedness of the Bochner-Riesz operator $S_\delta$ for $20$, restricting it to functions of product type. In this range, $20$, the strong $L^p$-estimate is valid for functions of product type but not for general functions.
Publié le : 2001-12-15
Classification:  
@article{1255958195,
     author = {TANAKA, Hitoshi},
     title = {An Estimate for the Bochner-Riesz Operator on Functions of Product Type in $R^2$},
     journal = {Tokyo J. of Math.},
     volume = {24},
     number = {2},
     year = {2001},
     pages = { 567-578},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255958195}
}

TANAKA, Hitoshi. An Estimate for the Bochner-Riesz Operator on Functions of Product Type in $R^2$. Tokyo J. of Math., Tome 24 (2001) no. 2, pp.  567-578. http://gdmltest.u-ga.fr/item/1255958195/