Geodesic
Maximal Operators Associated with Vector Polynomials of Lacunary Coefficients
Canadian journal of mathematics, Tome 61 (2009) no. 4, pp. 807-827

Voir la notice de l'article provenant de la source Cambridge University Press

We prove the ${{L}^{P}}({{\mathbb{R}}^{d}})(1 boundedness of the maximal operators associated with a family of vector polynomials given by the form $\left\{ ({{2}^{{{k}_{1}}}}{{\mathfrak{p}}_{1}}(t),...,{{2}^{{{k}_{d}}}}{{\mathfrak{p}}_{d}}(t)):t\in \mathbb{R} \right\}$ . Furthermore, by using the lifting argument, we extend this result to a general class of vector polynomials whose coefficients are of the form constant times ${{2}^{k}}$ .
DOI : 10.4153/CJM-2009-043-3
Mots-clés : 42B20, 42B25 
Hong, Sunggeum; Kim, Joonil; Yang, Chan Woo. Maximal Operators Associated with Vector Polynomials of Lacunary Coefficients. Canadian journal of mathematics, Tome 61 (2009) no. 4, pp. 807-827. doi: 10.4153/CJM-2009-043-3
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