@article{f68b4781dd8141d69c8262256335d64f,
title = "Boundedness of singular integral operators with variable kernels",
abstract = "Let K be a generalized Calder{\'o}n-Zygmund kernel defined on Rn × (Rn {set minus} {0}). The singular integral operator with variable kernel given byT f (x) = p.v. under(∫, Rn) K (x, x - y) f (y) d y is studied. We show that if the kernel K (x, y) satisfies the Lq-H{\"o}rmander condition with respect to x and y variables, respectively, then T is bounded on Lwp. If we add an extra Dini type condition on K, then we may show the Hwp - Lwp boundedness of T.",
keywords = "A weights, L-Dini condition, L-H{\"o}rmander condition, Singular integral operators, Variable kernel",
author = "Lee, {Ming Yi} and Lin, {Chin Cheng} and Lin, {Ying Chieh} and Dunyan Yan",
note = "Funding Information: E-mail addresses: mylee@math.ncu.edu.tw (M.-Y. Lee), clin@math.ncu.edu.tw (C.-C. Lin), 92241003@cc.ncu.edu.tw (Y.-C. Lin), ydunyan@gucas.ac.cn (D. Yan). 1 Research supported by NSC of Taiwan under Grant #NSC 96-2628-M-008-017. 2 Research supported by NSC of Taiwan under Grant #NSC 96-2115-M-008-002. 3 Research supported by NSF of China under Grants 10571014 and 10631080.",
year = "2008",
month = dec,
day = "15",
doi = "10.1016/j.jmaa.2008.07.078",
language = "???core.languages.en_GB???",
volume = "348",
pages = "787--796",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
number = "2",
}