Maximal Operators Associated with Vector Polynomials of Lacunary Coefficients
- Authors
- Hong, Sunggeum; Kim, Joonil; Yang, Chan Woo
- Issue Date
- 8월-2009
- Publisher
- CANADIAN MATHEMATICAL SOC
- Citation
- CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v.61, no.4, pp.807 - 827
- Indexed
- SCIE
SCOPUS
- Journal Title
- CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
- Volume
- 61
- Number
- 4
- Start Page
- 807
- End Page
- 827
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/119634
- DOI
- 10.4153/CJM-2009-043-3
- ISSN
- 0008-414X
- Abstract
- We prove the L(p)(R(d)) (1 < p <= infinity) boundedness of the maximal operators associated with a family of vector polynomials given by the form {(2(k1)p(1) (t),..., 2(kd)p(d)(t)) : t is an element of 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 2(k).
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