The regularity of the space of germs of Fréchet valued holomorphic functions and the mixed Hartog's theorem

Authors

  • Thai Thuan Quang

DOI:

https://doi.org/10.7146/math.scand.a-15003

Abstract

It is shown that H(K,F) is regular for every reflexive Fréchet space F with the property (LB) where K is a compact set of uniqueness in a Fréchet-Schwartz space E such that E(Ω). Using this result we give necessary and sufficient conditions for a Fréchet space F, under which every separately holomorphic function on K×F is holomorphic, where K is as above.

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Published

2006-09-01

How to Cite

Quang, T. T. (2006). The regularity of the space of germs of Fréchet valued holomorphic functions and the mixed Hartog’s theorem. MATHEMATICA SCANDINAVICA, 99(1), 119–135. https://doi.org/10.7146/math.scand.a-15003

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Articles