지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
For $f{\in}L^2(B,d{\nu})$, ${\parallel}f{\parallel}_{BMO}=\widetilde{{\mid}f{\mid}^2}(z)-{\mid}{\tilde{f}}(z){\mid}^2$. For f continuous on B, ${\parallel}f{\parallel}_{BO}=sup\{w(f)(z):z{\in}B\}$ where $w(f)(z)=sup\{{\mid}f(z)-f(w){\mid}:{\beta}(z,w){\leq}1\}$. In this paper, we will show that if $f{\in}BMO$, then ${\parallel}f{\parallel}_{BO}{\leq}M{\parallel}f{\parallel}_{BMO}$. We will also show that if $f{\in}BO$, then ${\parallel}f{\parallel}_{BMO}{\leq}M{\parallel}f{\parallel}_{BO}^2$. A homomorphic function $f:B{\rightarrow}{\mathbb{C}}$ is called a Bloch function ($f{\in}{\mathcal{B}}$) if ${\parallel}f{\parallel}_{\mathcal{B}}=sup_{z{\in}B}\;Qf(z)$<${\infty}$. In this paper, we will show that if $f{\in}{\mathcal{B}}$, then ${\parallel}f{\parallel}_{BO}{\leq}{\parallel}f{\parallel}_{\mathcal{B}}$. We will also show that if $f{\in}BMO$ and f is holomorphic, then ${\parallel}f{\parallel}_{\mathcal{B}}^2{\leq}M{\parallel}f{\parallel}_{BMO}$.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
CHARACTERIZATION OF BMO OR LIPSCHITZ FUNCTIONS BY GARSIA-TYPE NORMS ON A BOUNDED DOMAIN
East Asian Mathematical Journal
2013 .01
-
THE CORONA THEOREM FOR BOUNDED FUNCTIONS IN DIRICHLET SPACE
충청수학회지
1997 .01
-
POINTWISE ESTIMATES AND BOUNDEDNESS OF GENERALIZED LITTLEWOOD-PALEY OPERATORS IN BMO(Rn)
대한수학회보
2015 .01
-
Estimates for Riesz transforms associated with Schr\"odinger type operators
대한수학회보
2019 .01
-
CHARACTERIZATION OF LIPSCHITZ-TYPE FUNCTIONS BY GARSIA-TYPE NORMS ON THE UPPER HALF SPACE
East Asian Mathematical Journal
2012 .01
-
THE PERTURBATION FOR THE DRAZIN INVERSE
Journal of applied mathematics & informatics
2009 .01
-
THE EQUIVALENT NORMS ON SEMIMARTINGALES
Journal of applied mathematics & computing
2007 .01
-
DUALITY OF QK-TYPE SPACES
대한수학회보
2014 .01
-
Notes on the Bergman projection type operator in $\Bbb C^n$
대한수학회논문집
2006 .01
-
BOUNDED LINEAR FUNCTIONAL ON L(B) RELATED WITH $\mathcal{B}_q$
충청수학회지
2001 .01
-
Norm of the composition operator from Bloch space to Bergman space
대한수학회논문집
2014 .01
-
ON BOUNDED OPERATOR Q IN WEIGHT BLOCH SPACE
충청수학회지
2000 .01
-
Generalized composition operators from generalized weighted Bergman spaces to Bloch type spaces
대한수학회지
2009 .01
-
Weighted composition operators between Bergman and Bloch spaces
대한수학회논문집
2007 .01
-
L^p-boundedness for the commutators of rough oscillatory singular integrals with non-convolution phases
대한수학회지
2009 .01
-
COMPACT INTERPOLATION ON AX = Y IN ALG？？
Journal of applied mathematics & informatics
2014 .01
-
A METRIC INDUCED BY THE BERGMAN KERNEL
호남수학학술지
2014 .01
-
LOGARITHMIC COMPOSITION INEQUALITY IN BESOV SPACES
충청수학회지
2013 .01
-
Characterization of functions via commutators of bilinear fractional integrals on Morrey spaces
대한수학회보
2016 .01
-
Multipliers of Dirichlet-type subspaces of Bloch space
대한수학회보
2020 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0