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Let V be an arbitrary system of weights on an open connected
subset G of CN (N ≥ 1) and let B (E) be the Banach algebra of
all bounded linear operators on a Banach space E. Let HVb (G,E) and
HV0 (G,E) be the weighted locally convex spaces of vector-valued analytic
functions. In this paper, we characterize self-analytic mappings
φ : G → G and operator-valued analytic mappings Ψ : G → B (E) which
generate weighted composition operators and invertible weighted composition
operators on the spaces HVb (G,E) and HV0 (G,E) for different
systems of weights V on G. Also, we obtained compact weighted composition
operators on these spaces for some nice classes of weights.
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참고문헌 (27)
참고문헌 신청
A. Galbis / 1994 / Weighted Banach spaces of entire functions / Archiv der Mathematik (Basel) 62 (1) : 58 ~ 64
A. Montes-Rodriguez / 2000 / Weighted composition operators on weighted Banach spaces of analytic functions / Journal of the London Mathematical Society 61 (3) : 872 ~ 884
B. D. MacCluer / 2003 / Essential norms of weighted composition operators between Bloch-type spaces / Rocky Mountain Journal of Mathematics 33 (4) : 1437 ~ 1458
C. Cowen / 1995 / Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics / CRC Press
C. J. Kolaski / 1989 / Surjective isometries of weighted Bergman spaces / Proc. Amer. Math. Soc. : 652 ~ 657
A. Montes-Rodriguez / 2000 / Weighted composition operators on weighted Banach spaces of analytic functions / Journal of the London Mathematical Society 61 (3) : 872 ~ 884
B. D. MacCluer / 2003 / Essential norms of weighted composition operators between Bloch-type spaces / Rocky Mountain Journal of Mathematics 33 (4) : 1437 ~ 1458
C. Cowen / 1995 / Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics / CRC Press
C. J. Kolaski / 1989 / Surjective isometries of weighted Bergman spaces / Proc. Amer. Math. Soc. : 652 ~ 657
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