Analysis by discs
Amar, Eric
HAL, hal-00583954 / Harvested from HAL
Text on HAL
We prove that the composition of a function in the Hardy class H^p of the unit ball B in C^n with an analytic disc is in the Bergman class of the unit disc. Then we use it to show that the natural "analysis by discs" fails in the case of H^p(B) interpolating sequences for finite p.
Publié le : 2004-05-13
Classification:  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV],  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] 
@article{hal-00583954,
     author = {Amar, Eric},
     title = {Analysis by discs},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00583954}
}

Amar, Eric. Analysis by discs. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00583954/