Complex interpolation of normed and quasinormed spaces in several dimensions. I
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- by Zbigniew Slodkowski PDF
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Abstract:
A variety of complex interpolation methods for families of normed or quasi-normed spaces, parametrized by points of domains in complex homogeneous spaces, parametrized by points of domains in complex homogeneous spaces, is developed. Results on existence, continuity, uniqueness, reiteration and duality for interpolation are proved, as well as on interpolation of operators. A minimum principle for plurisubharmonic functions is obtained and used as a tool for the duality theorem.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 308 (1988), 685-711
- MSC: Primary 32F05; Secondary 32E30, 32M10, 46M35
- DOI: https://doi.org/10.1090/S0002-9947-1988-0951623-1
- MathSciNet review: 951623