Molecules in coorbit spaces and boundedness of operators

Karlheinz Gröchenig, and Mariusz Piotrowski. "Molecules in coorbit spaces and boundedness of operators." Studia Mathematica 192.1 (2009): 61-77. <http://eudml.org/doc/284853>.

@article{KarlheinzGröchenig2009,
abstract = {We study the notion of molecules in coorbit spaces. The main result states that if an operator, originally defined on an appropriate space of test functions, maps atoms to molecules, then it can be extended to a bounded operator on coorbit spaces. For time-frequency molecules we recover some boundedness results on modulation spaces, for time-scale molecules we obtain the boundedness on homogeneous Besov spaces.},
author = {Karlheinz Gröchenig, Mariusz Piotrowski},
journal = {Studia Mathematica},
keywords = {molecules; coorbit spaces},
language = {eng},
number = {1},
pages = {61-77},
title = {Molecules in coorbit spaces and boundedness of operators},
url = {http://eudml.org/doc/284853},
volume = {192},
year = {2009},
}

TY - JOUR
AU - Karlheinz Gröchenig
AU - Mariusz Piotrowski
TI - Molecules in coorbit spaces and boundedness of operators
JO - Studia Mathematica
PY - 2009
VL - 192
IS - 1
SP - 61
EP - 77
AB - We study the notion of molecules in coorbit spaces. The main result states that if an operator, originally defined on an appropriate space of test functions, maps atoms to molecules, then it can be extended to a bounded operator on coorbit spaces. For time-frequency molecules we recover some boundedness results on modulation spaces, for time-scale molecules we obtain the boundedness on homogeneous Besov spaces.
LA - eng
KW - molecules; coorbit spaces
UR - http://eudml.org/doc/284853
ER -