Volterra composition operators between weighted Bergman-Nevanlinna and Bloch-type spaces

• Autorzy: Sharma A.
• Języki publikacji: EN

Słowa kluczowe

EN

Volterra composition operator; holomorphic maps; Bergman-Nevanlinna space

PL

operatory Volterra; odwzorowania holomorficzne; przestrzeń Bergmana-Nevanlinna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 3
• Strony: 607--618
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Sharma A.

• School of Applied Physics and Mathematics Shri Mata Vaishno Devi University, Kakryal, Katra-182301 Jammu and Kashmir-India,

Bibliografia

• [1] A. Aleman, J. A. Cima, An integral operator on Hp and Hardy inequality, J. Anal. Math. 85 (2001), 157-176.
• [2] A. Aleman, A. G. Siskakis, An integral operator on Hp, Complex Variables 28 (1995), 149-158.
• [3] A. Aleman, A. G. Siskakis, Integration operators on Bergman spaces, Indiana Univ. Math. J. 46 (1997), 337-356.
• [4] C. C. Cowen, B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, CRC Press Boca Raton, New York, 1995.
• [5] H. Hedenmalm, B. Korenblum, K. Zhu, Theory of Bergman Spaces, Springer, New York, Berlin, 2000.
• [6] S. Li, Volterra composition operators between weighted Bergman spaces and Bloch type spaces, J. Korean Math. Soc. 45 (1999), 229-248.
• [7] S. Ohno, K. Stroethoff, R. Zhao, Weighted composition operators between Bloch-type spaces, Rocky Mountain J. Math. 33 (2003), 191-215.
• [8] Ch. Pommerenke, Schlichte Funktionen und analytische Funktionen von beschrankter mittlerer Oszillation, Comment. Math. Helv. 52 (1977), 591-602.
• [9] A. G. Siskakis, R. Zhao, A Volterra type operator on spaces of analytic functions, Contemp. Math. 232 (1999), 299-311.
• [10] J. Xiao, Cesaro operators on Hardy, BMOA and Bloch spaces, Arch. Math. 68 (1997), 398-406.
• [11] J. Xiao, Composition operators: N α to the Bloch space to Q β Studia Math. 139 (2000), 245-260.
• [12] J. Xiao, Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball, J. London Math. Soc. 70 (2004), 199-214.
• [13] R. Yoneda, Pointwise multipliers from BMOAα to BMOAβ, Complex Variables Theory Appl. 49 (2004), 1045-1061.