Holomorphic functions of fast growth on submanifolds of the domain

• Autorzy: Piotr Jakóbczak
• Języki publikacji: EN

Abstrakty

EN

We construct a function f holomorphic in a balanced domain D in $ℂ^N$ such that for every positive-dimensional subspace Π of $ℂ^N$, and for every p with 1 ≤ p < ∞, $f|_{Π ∩ D}$ is not $L^p$-integrable on Π ∩ D.

Słowa kluczowe

EN

balanced domains; growth of holomorphic function

Kategorie tematyczne

• 32A07: Special domains (Reinhardt, Hartogs, circular, tube)
• 32A37: Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 70
• Numer: 1
• Strony: 145-155

Daty

wydano

1998

otrzymano

1997-12-15

Twórcy

autor

Piotr Jakóbczak

• Institute of Mathematicsi, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland

Bibliografia

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