Displaying similar documents to “A Hölder inequality for holomorphic functions.”

Holomorphic functions of fast growth on submanifolds of the domain

Piotr Jakóbczak (1998)

Annales Polonici Mathematici

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

On a class of ¯ -equations without solutions

Telemachos Hatziafratis (1998)

Commentationes Mathematicae Universitatis Carolinae

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In this note we construct ¯ -equations (inhomogeneous Cauchy-Riemann equations) without solutions. The construction involves Bochner-Martinelli type kernels and differentiation with respect to certain parameters in appropriate directions.