A uniqueness theorem for hyperharmonic functions
β Scribed by A. Sadi
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 339 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract Let __M__ be a CR manifold embedded in β^__s__^ of arbitrary codimension. __M__ is called generic if the complex hull of the tangent space in all points of __M__ is the whole β^__s__^. __M__ is minimal (in sense of Tumanov) in __p__ Ο΅ __M__ if there does not exist any CR submanifold of
First we show that any hyperbolically harmonic (hyperharmonic) function in the unit ball B in n has a series expansion in hyperharmonic functions, and then we construct the kernel that reproduces hyperharmonic functions in some L 1 B space. We show that the same kernel also reproduces harmonic funct