CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Sharp L^{p} improving results for singular measures on Cⁿ⁺©ö
Autor/es:
E. FERREYRA; M. URCIUOLO
Revista:
The Australian Journal of Mathematical Analysis and Applications
Editorial:
Australian Internet Publishing
Referencias:
Lugar: Victoria; Año: 2011 vol. 8 p. 1 - 12
ISSN:
1449-5910
Resumen:
For j=1,...,n, let ¥Ø_{j} be open sets of the complex plane and let ϕ_{j} be holomorphic functions on ¥Ø_{j} such that ϕ_{j}¡Ç¡Ç does not vanish identically on ¥Ø_{j}. We consider ϕ(z©û,...,z_{n})=ϕ©û(z©û)+...+ϕ_{n}(z_{n}). We characterize the pairs (p,q) such that the convolution operator with the surface measure supported on a compact subset of the graph of ϕ is p-q bounded.
