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/