Holomorphic functions which are highly nonintegrable at the boundary |
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Authors: | Josip Globevnik |
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Institution: | (1) Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Ljubljana, Slovenia |
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Abstract: | Given a bounded convex domainD in ℂN with smooth boundary and a positive continuous function ϕ ond, it is proved that there is a holomorphic functionf onD such that |f|ϕ is nonintegrable onM∩D wheneverM is a real submanifold of a neighbourhood of a point ofbD which intersectsbD transversely. |
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