Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals
Carlos E. Kenig; Wolfgang Staubach
Studia Mathematica (2007)
- Volume: 183, Issue: 3, page 249-258
- ISSN: 0039-3223
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topCarlos E. Kenig, and Wolfgang Staubach. "Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals." Studia Mathematica 183.3 (2007): 249-258. <http://eudml.org/doc/285192>.
@article{CarlosE2007,
abstract = {We define a class of pseudodifferential operators with symbols a(x,ξ) without any regularity assumptions in the x variable and explore their $L^\{p\}$ boundedness properties. The results are applied to obtain estimates for certain maximal operators associated with oscillatory singular integrals.},
author = {Carlos E. Kenig, Wolfgang Staubach},
journal = {Studia Mathematica},
keywords = {pseudo-pseudodifferential operators; maximal operators; singular oscillatory integrals},
language = {eng},
number = {3},
pages = {249-258},
title = {Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals},
url = {http://eudml.org/doc/285192},
volume = {183},
year = {2007},
}
TY - JOUR
AU - Carlos E. Kenig
AU - Wolfgang Staubach
TI - Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals
JO - Studia Mathematica
PY - 2007
VL - 183
IS - 3
SP - 249
EP - 258
AB - We define a class of pseudodifferential operators with symbols a(x,ξ) without any regularity assumptions in the x variable and explore their $L^{p}$ boundedness properties. The results are applied to obtain estimates for certain maximal operators associated with oscillatory singular integrals.
LA - eng
KW - pseudo-pseudodifferential operators; maximal operators; singular oscillatory integrals
UR - http://eudml.org/doc/285192
ER -
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