On the composition of the integral and derivative operators of functional order

Hartzstein, Silvia Inés; Viviani, Beatriz Eleonora

info:eu-repo/semantics/article

Fecha

2003-03

Registro en:

Hartzstein, Silvia Inés; Viviani, Beatriz Eleonora; On the composition of the integral and derivative operators of functional order; Universitatis Carolinae; Commentationes Mathematicae; 3-2003; 99-120

0010-2628

http://hdl.handle.net/11336/100580

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4401689

Autor

Hartzstein, Silvia Inés

Viviani, Beatriz Eleonora

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

In this work we show that the composition of the integral and derivative operators of order phi, T_phi = D_phi◦I_phi, is a singular integral operator.This result in addition with the results obtained in [HV2] of boundedness of I_phi and D_phi or the T1-theorems proved in [HV1] yield the fact that T_phi is a Calderón-Zygmund operator bounded on the generalized Besov and Triebel-Lizorkin spaces of functional order.

Materias

FRACTIONAL INTEGRAL OPERATORS

FRACTIONAL DEIVATIVE OPERATORS

BESOV AND TRIEBEL-LIZORKING SPACES

CALDERÓN_ZYGMUND OPERATORS

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