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Triple Hilbert Transforms Along Polynomial Surfaces
- Cho, Yong-Kum;
- Hong, Sunggeum;
- Kim, Joonil;
- Yang, Chan Woo
Citations
WEB OF SCIENCE
5Citations
SCOPUS
5초록
Given Omega subset of Z(+)(3), we discuss a necessary and sufficient condition that the triple Hilbert transform associated with any polynomial of the form (t(1), t(2), t(3), Sigma(m) (is an element of Omega)a(m) t(m)) is bounded in L-p(R-4).
키워드
Triple Hilbert transform; Newton polyhedron; van der Corput's lemma; Littlewood-Paley operator; oscillatory singular integral; even in column; SINGULAR-INTEGRALS; OPERATORS
- 제목
- Triple Hilbert Transforms Along Polynomial Surfaces
- 저자
- Cho, Yong-Kum; Hong, Sunggeum; Kim, Joonil; Yang, Chan Woo
- 발행일
- 2009-12
- 유형
- Article
- 권
- 65
- 호
- 4
- 페이지
- 485 ~ 528