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
The space BVα2 (I) of all the real functions defined on interval I = [a, b] ⊂ R, which are of bounded second α-variation (in the sense De la Vall´e Poussin) on I forms a Banach space. In this space we define an operator of substitution H generated by a function h : I × R → R, and prove, in particular, that if H maps BVα2 (I) into itself and is globally Lipschitz or uniformly continuous, then h is an affine function with respect to the second variable.
목차
등록된 정보가 없습니다.
참고문헌 (20)
참고문헌 신청
A. Acosta / 2010 / Uniformly continuous composition operator in the space of ρ-variation functions in the sense of Riesz / Fasc. Math 43 : 5 ~ 11
A. M. Russell / 1970 / Functions of bounded second variation and Stieltjes-type integrals / J. Lond. Math. Soc. (2) 2 : 193 ~ 208
A. Matkowska / 1984 / On characterization of Lipschitizian operators of substitution in the class of H¨older functions / Sci. Bull. L´odzka Technical Univ 17 : 81 ~ 85
A. Matkowska / 1995 / Remark on globally Lipschitizian composition operators / Demonstratio Math 28 (1) : 171 ~ 175
A. W. Roberts / 1973 / Convex Functions
A. M. Russell / 1970 / Functions of bounded second variation and Stieltjes-type integrals / J. Lond. Math. Soc. (2) 2 : 193 ~ 208
A. Matkowska / 1984 / On characterization of Lipschitizian operators of substitution in the class of H¨older functions / Sci. Bull. L´odzka Technical Univ 17 : 81 ~ 85
A. Matkowska / 1995 / Remark on globally Lipschitizian composition operators / Demonstratio Math 28 (1) : 171 ~ 175
A. W. Roberts / 1973 / Convex Functions
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Multiplication operators on weighted Banach spaces of a tree
대한수학회보
2017 .01
-
LINEAR PRESERVERS OF SYMMETRIC ARCTIC RANK OVER THE BINARY BOOLEAN SEMIRING
대한수학회지
2017 .07
-
STUDY ON UNIFORMLY CONVEX AND UNIFORMLY STARLIKE MULTIVALENT FUNCTIONS ASSOCIATED WITH LIBERA INTEGRAL OPERATOR
Nonlinear Functional Analysis and Applications
2023 .03
-
Fixed points of BSC-sequences
대한수학회논문집
2017 .01
-
STRICT TOPOLOGIES AND OPERATORS ON SPACES OF VECTOR-VALUED CONTINUOUS FUNCTIONS
대한수학회지
2015 .01
-
Operators on soft inner product spaces II
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2017 .03
-
Differences of differential operators between weighted-type spaces
대한수학회논문집
2021 .01
-
Matrix operators on function-valued function spaces
한국수학논문집
2019 .01
-
BLOCH-TYPE SPACES AND THEIR COMPOSITION OPERATORS
호남수학학술지
2015 .01
-
BOUNDED CONVERGENCE THEOREMS
대한수학회지
2017 .01
-
Influence of Vanadium Substitution on Phase Structure, Magnetic and Dielectric Properties of BiFeO₃ Ceramics
Journal of Magnetics
2018 .03
-
Solvability of Sylvester operator equation with bounded subnormal operators in Hilbert spaces
한국수학논문집
2019 .01
-
Degree of Convergence for Fourier Series of Functions in the Class $L^{p}$-$BV$
East Asian Mathematical Journal
2019 .01
-
NORMAL, COHYPONORMAL AND NORMALOID WEIGHTED COMPOSITION OPERATORS ON THE HARDY AND WEIGHTED BERGMAN SPACES
대한수학회지
2017 .01
-
Hardy Spaces of Certain Convolution Operator
Kyungpook Mathematical Journal
2020 .01
-
ON CERTAIN GENERALIZED q-INTEGRAL OPERATORS OF ANALYTIC FUNCTIONS
대한수학회보
2015 .01
-
Distributional fractional powers of similar operators with applications to the Bessel operators
대한수학회논문집
2018 .01
-
Range Kernel Orthogonality and Finite Operators
Kyungpook Mathematical Journal
2015 .01
-
A note on discrete semigroups of bounded linear operators on non-archimedean Banach spaces
대한수학회논문집
2022 .04
이 논문의 저자 정보
최근 본 자료
댓글(0)
0