Homeomorphisms acting on Besov and Triebel-Lizorkin spaces of local regularity ψ(t).

Hartzstein, Silvia I., and Viviani, Beatriz E.. "Homeomorphisms acting on Besov and Triebel-Lizorkin spaces of local regularity ψ(t).." Collectanea Mathematica 56.1 (2005): 27-45. <http://eudml.org/doc/41819>.

@article{Hartzstein2005,
abstract = {The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and Triebel-Lizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularities belong to a larger class of growth functions than the potentials tα, related to classical fractional integral and derivative operators and Besov and Triebel-Lizorkin spaces.},
author = {Hartzstein, Silvia I., Viviani, Beatriz E.},
journal = {Collectanea Mathematica},
keywords = {Integrales singulares; Operadores integrales; Operadores de Calderón-Zygmund; Operadores diferenciales; Homeomorfismos; Espacios de Besov; Espacio homogéneo; Espacios de Triebel-Lizorkin; fractional integral operator; fractional derivative operator; Integral operator of functional order; derivative operator of functional order Calderón-Zygmund operators; Besov and Triebel-Lizorkin spaces; spaces of homogeneous type},
language = {eng},
number = {1},
pages = {27-45},
title = {Homeomorphisms acting on Besov and Triebel-Lizorkin spaces of local regularity ψ(t).},
url = {http://eudml.org/doc/41819},
volume = {56},
year = {2005},
}

TY - JOUR
AU - Hartzstein, Silvia I.
AU - Viviani, Beatriz E.
TI - Homeomorphisms acting on Besov and Triebel-Lizorkin spaces of local regularity ψ(t).
JO - Collectanea Mathematica
PY - 2005
VL - 56
IS - 1
SP - 27
EP - 45
AB - The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and Triebel-Lizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularities belong to a larger class of growth functions than the potentials tα, related to classical fractional integral and derivative operators and Besov and Triebel-Lizorkin spaces.
LA - eng
KW - Integrales singulares; Operadores integrales; Operadores de Calderón-Zygmund; Operadores diferenciales; Homeomorfismos; Espacios de Besov; Espacio homogéneo; Espacios de Triebel-Lizorkin; fractional integral operator; fractional derivative operator; Integral operator of functional order; derivative operator of functional order Calderón-Zygmund operators; Besov and Triebel-Lizorkin spaces; spaces of homogeneous type
UR - http://eudml.org/doc/41819
ER -