On solvability of the cohomology equation in function spaces
Studia Mathematica (2003)
- Volume: 156, Issue: 3, page 277-293
- ISSN: 0039-3223
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topRyotaro Sato. "On solvability of the cohomology equation in function spaces." Studia Mathematica 156.3 (2003): 277-293. <http://eudml.org/doc/284510>.
@article{RyotaroSato2003,
abstract = {Let T be an endomorphism of a probability measure space (Ω,𝓐,μ), and f be a real-valued measurable function on Ω. We consider the cohomology equation f = h ∘ T - h. Conditions for the existence of real-valued measurable solutions h in some function spaces are deduced. The results obtained generalize and improve a recent result of Alonso, Hong and Obaya.},
author = {Ryotaro Sato},
journal = {Studia Mathematica},
keywords = {coboundary; Banach lattice; measurable transformation},
language = {eng},
number = {3},
pages = {277-293},
title = {On solvability of the cohomology equation in function spaces},
url = {http://eudml.org/doc/284510},
volume = {156},
year = {2003},
}
TY - JOUR
AU - Ryotaro Sato
TI - On solvability of the cohomology equation in function spaces
JO - Studia Mathematica
PY - 2003
VL - 156
IS - 3
SP - 277
EP - 293
AB - Let T be an endomorphism of a probability measure space (Ω,𝓐,μ), and f be a real-valued measurable function on Ω. We consider the cohomology equation f = h ∘ T - h. Conditions for the existence of real-valued measurable solutions h in some function spaces are deduced. The results obtained generalize and improve a recent result of Alonso, Hong and Obaya.
LA - eng
KW - coboundary; Banach lattice; measurable transformation
UR - http://eudml.org/doc/284510
ER -
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