Abstract
We prove the Lp(,Rd) (1 < p< ∞) boundedness of the maximal operators associated with a family of vector polynomials given by the form {(2K1 P1(t)., 2Kd'pd(f)) : t σ R}. 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 2K.
Original language | English |
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Pages (from-to) | 807-827 |
Number of pages | 21 |
Journal | Canadian Journal of Mathematics |
Volume | 61 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2009 Aug |
ASJC Scopus subject areas
- Mathematics(all)