논문KCI 등재
On boundedness for complex valued functions on the $p$-adic vector space
대한수학회 (The Korean Mathematical Society)|2006.10|대한수학회논문집 (Communications of the KMS)|제21권 제4호|pp. 631-640
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper, we prove sucient conditions of bound-edness of maximal operators on thep-adic vector space. We alsoconsider weighted Hardy-Littlewod averages on the p-adic vectorspace.
참고문헌 (9)
- "adic spectral analysis and multiwavelet on" (2003)
- "adic Numbers: An Introduction" (1993)
- "An introduction to the theory of local zeta functions} AMS", IP Studies in AdvancedMathematics, 1994., ~
- "On p-adic bounded functions II" (2001)
- "Green functions on the $p$-adic vector space" (2005)
- "\it Fourier analysis on local fields}" (1975), Princeton University Press Princeton
- "Tables of integrals of complex valued functions of p-adic arguments" (2003)
- "p-Adic Analysis and Mathematical Physics" (1994)
- "Lp and BMO bounds of weighted Hardy-Littlewood averages" (2001)
관련 논문AI추천
Green functions on the p-adic vector space손진우, 임경수대한수학회 · 대한수학회논문집2005 · 제20권 제4호A SIMPLE PROOF OF THE ρ-ADIC VERSION OF THE SOBOLEV EMBEDDING THEOREM김용철대한수학회 · 대한수학회논문집2010 · 제25권 제1호Some basic theorems of calculus on the field of p-adic numbers정필웅, Huanping Liu, Minggen Cui한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제2호L^q-estimates of maximal operators on the p-adic vector spaceYong-Cheol Kim대한수학회 · 대한수학회논문집2009 · 제24권 제3호A counterexample for improved Sobolev inequalities over the 2-adic groupDiego Chamorro대한수학회 · 대한수학회논문집2013 · 제28권 제2호Inequalities for vector-valued maximal functions over locally compact Vilenkin groupsLan Senhua, Liu Lanzhe대한수학회 · 대한수학회지2002 · 제39권 제3호
