논문KCI 등재
CHARACTERIZATION OF BMO OR LIPSCHITZ FUNCTIONS BY GARSIA-TYPE NORMS ON A BOUNDED DOMAIN
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we prove that the BMO norm and the Garsia norm are equivalent on a bounded domain in RN. Also, we investigate the equivalent relation between the Lipschitz norm and the Garsia-type norm for harmonic functions.
Abstract
In this paper, we prove that the BMO norm and the Garsia norm are equivalent on a bounded domain in RN. Also, we investigate the equivalent relation between the Lipschitz norm and the Garsia-type norm for harmonic functions.
참고문헌 (9)
- Sh. Axler, "Putman's theorem, Alexander's spectral area estimate and VMO", Math. Ann, 271, pp.161~183 (1985)
- S. Bloom, "Atomic decomposition of generalized Lipschitz spaces", Illinois J. Math, 33-2, pp.181~209 (1989)
- H. R. Cho, "Characterization of the weighted Lipschitz function by the Garsia-type norm on the unit ball", Taiwanese Journal of Mathematics
- K. M. Dyakonov, "Equivalent norms on Lipschitz-type spaces of holomorphic functions", Acta. Math, 178, pp.143~167 (1997)
- J. B. Garnett, "Bounded Analytic Functions" (1981), Academic Press
- Steven G. Krantz, "Calculation and estimate of the Poisson kernel", J. Math. Anal. Appl, 302, pp.143~148 (2005)
- R. M. Range, "Holomorphic functions and integral representations in Several Complex Variables" (1986), Springer-Verlag
- E. M. Stein, "Boundary behavior of holomorphic functions of Several Complex Variables" (1972), Princeton Univ. Press
- Kehe Zhu, "Spaces of holomorphic functions in the unit ball" (2005), Springer
관련 논문AI추천
CHARACTERIZATION OF LIPSCHITZ-TYPE FUNCTIONS BY GARSIA-TYPE NORMS ON THE UPPER HALF SPACE변지수, 조홍래, Bong-Hak Im영남수학회 · East Asian Mathematical Journal2012 · 제28권 제1호BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONSJinjing Qiao, Xi Fu대한수학회 · 대한수학회보2021 · 제58권 제2호A $(\phi_n, \phi)$-Poincar\'e inequality on John domainShangying Feng, Tian Liang대한수학회 · 대한수학회지2026 · 제63권 제1호REAL-VARIABLE CHARACTERIZATIONS OF VARIABLE HARDY SPACES ON LIPSCHITZ DOMAINS OF ℝnXiong Liu대한수학회 · 대한수학회보2021 · 제58권 제3호Lipschitz type characterizations of harmonic Bergman spaces남계숙대한수학회 · 대한수학회보2013 · 제50권 제4호A note on Sobolev type trace inequalities for $s$-harmonic extensionsShujuan Zhou, Yongrui Tang대한수학회 · 대한수학회지2024 · 제61권 제2호
이 간행물의 다른 논문 (8건)
COMMON FIXED POINT OF MAPS IN COMPLETE PARTIAL METRIC SPACESShaban Sedghi, Nabiollah Shobkolaeipp. 1-12MULTI-DIMENSIONAL LIU PROCESS, INTEGRAL AND DIFFERENTIALWeiqing Wang, Cuilian You, Huae Huopp. 13-22CONVERGENCE TO COMMON FIXED POINTS FOR A FINITE FAMILY OF GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACESG. S. Salujapp. 23-37COMMUTATIVITY OF ASSOCIATION SCHEMES OF ORDER pq히라사카, Akihide Hanakipp. 39-52GEOMETRIC HERMITE INTERPOLATION FOR PLANAR PYTHAGOREAN-HODOGRAPH CUBICS이현철, 이선홍pp. 53-68