We study the mapping properties of a family of strongly singular oscillatory integral operators on ℝⁿ which are non-homogeneous in the sense that their kernels have isotropic oscillations but non-isotropic singularities.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm187-3-4,
author = {Bassam Shayya},
title = {Non-homogeneous strongly singular integrals},
journal = {Studia Mathematica},
volume = {187},
year = {2008},
pages = {265-280},
zbl = {1283.42027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm187-3-4}
}
Bassam Shayya. Non-homogeneous strongly singular integrals. Studia Mathematica, Tome 187 (2008) pp. 265-280. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm187-3-4/