Non-smooth atomic decompositions of anisotropic function spaces and some applications

Susana D. Moura, Iwona Piotrowska, and Mariusz Piotrowski. "Non-smooth atomic decompositions of anisotropic function spaces and some applications." Studia Mathematica 180.2 (2007): 169-190. <http://eudml.org/doc/284881>.

@article{SusanaD2007,
abstract = {The main purpose of the present paper is to extend the theory of non-smooth atomic decompositions to anisotropic function spaces of Besov and Triebel-Lizorkin type. Moreover, the detailed analysis of the anisotropic homogeneity property is carried out. We also present some results on pointwise multipliers in special anisotropic function spaces.},
author = {Susana D. Moura, Iwona Piotrowska, Mariusz Piotrowski},
journal = {Studia Mathematica},
keywords = {nonsmooth atoms; pointwise multipliers},
language = {eng},
number = {2},
pages = {169-190},
title = {Non-smooth atomic decompositions of anisotropic function spaces and some applications},
url = {http://eudml.org/doc/284881},
volume = {180},
year = {2007},
}

TY - JOUR
AU - Susana D. Moura
AU - Iwona Piotrowska
AU - Mariusz Piotrowski
TI - Non-smooth atomic decompositions of anisotropic function spaces and some applications
JO - Studia Mathematica
PY - 2007
VL - 180
IS - 2
SP - 169
EP - 190
AB - The main purpose of the present paper is to extend the theory of non-smooth atomic decompositions to anisotropic function spaces of Besov and Triebel-Lizorkin type. Moreover, the detailed analysis of the anisotropic homogeneity property is carried out. We also present some results on pointwise multipliers in special anisotropic function spaces.
LA - eng
KW - nonsmooth atoms; pointwise multipliers
UR - http://eudml.org/doc/284881
ER -