Pseudoconvex classes of functions. III. Characterization of dual pseudoconvex classes on complex homogeneous spaces
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- by Zbigniew Slodkowski PDF
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Abstract:
Invariant classes of functions on complex homogeneous spaces, with properties similar to those of the class of plurisubharmonic functions, are studied. The main tool is a regularization method for these classes, and the main theorem characterizes dual classes of functions (where duality is defined in terms of the local maximum property). These results are crucial in proving a duality theorem for complex interpolation of normed spaces, which is given elsewhere.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 309 (1988), 165-189
- MSC: Primary 32F05; Secondary 32M10
- DOI: https://doi.org/10.1090/S0002-9947-1988-0957066-9
- MathSciNet review: 957066