On the concept of inner function in Hardy and Bergman spaces in multiply connected domains

Author:

Bénéteau Catherine,Fleeman Matthew,Khavinson Dmitry,Sola Alan A.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Algebra and Number Theory,Analysis

Reference60 articles.

1. Abkar, A., Hedenmalm, H.: Invariant subspaces on multiply connected domains. Publ. Mat. 42, 521–557 (1997)

2. Agler, J., Harland, J., Raphael, B.J.: Classical function theory, operator dilation theory, and machine computation on multiply-connected domains. Mem. Am. Math. Soc. 191(892), viii+159 (2008)

3. Aleman, A., Richter, S.: Simply invariant subspaces of $$H^2$$ on some multiply connected domains. Integral Equ Oper Theory 24, 127–155 (1996)

4. Bell, S.R.: The Cauchy Transform, Potential Theory and Conformal Mapping. CRC Press, Boca Raton, FL (2016)

5. Bénéteau, C., Khavinson, D.: The isoperimetric inequality via approximation theory and free boundary problems. Comput. Methods Funct. Theory 6, 253–274 (2006)

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