TY - JOUR
T1 - An atomic decomposition for the Bergman space of temperature functions on a cylinder
AU - López-García, Marcos
PY - 2005/4
Y1 - 2005/4
N2 - For 1 ≤ p < ∞, we define the weighted Bergman space b βp(ST) as consisting of the temperature functions on the cylinder ST = S1 × (0, T) that belong to Lp(ΩT, tβdxdt), where ΩT = (0, 2) × (0, T). For α > β > -1 we construct a family of bounded projections Pα: L 1(ΩT, tβdxdt) → b β1(ST). We use this to get an atomic decomposition of the Bergman space bp(ST) = b 0p(ST) for all p ≥ 1.
AB - For 1 ≤ p < ∞, we define the weighted Bergman space b βp(ST) as consisting of the temperature functions on the cylinder ST = S1 × (0, T) that belong to Lp(ΩT, tβdxdt), where ΩT = (0, 2) × (0, T). For α > β > -1 we construct a family of bounded projections Pα: L 1(ΩT, tβdxdt) → b β1(ST). We use this to get an atomic decomposition of the Bergman space bp(ST) = b 0p(ST) for all p ≥ 1.
KW - Atomic decomposition
KW - Bergman space
UR - http://www.scopus.com/inward/record.url?scp=33745549994&partnerID=8YFLogxK
M3 - Artículo
SN - 0037-8615
VL - 11
SP - 101
EP - 119
JO - Boletin de la Sociedad Matematica Mexicana
JF - Boletin de la Sociedad Matematica Mexicana
IS - 1
ER -