Triple Hilbert transforms along polynomial surfaces

Yong Kum Cho, Sunggeum Hong, Joonil Kim, Chan Woo Yang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Given Ω ⊂ ℤ+3, we discuss a necessary and sufficient condition that the triple Hilbert transform associated with any polynomial of the form (t1,t2,t3, ∑m Ie{cyrillic, ukrainian} Ωam tm is bounded in Lp(ℝ4).

Original languageEnglish
Pages (from-to)485-528
Number of pages44
JournalIntegral Equations and Operator Theory
Volume65
Issue number4
DOIs
Publication statusPublished - 2009 Dec

Keywords

  • Even in column
  • Littlewood-Paley operator
  • Newton polyhedron
  • Oscillatory singular integral
  • Triple Hilbert transform
  • Van der Corput's lemma

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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