@article{815500acd2cd4046b2b5f72ecec26574,
title = "Riesz means associated with certain product type convex domain",
abstract = "In this paper we study the maximal operators Tδ* and the convolution operators Tδ associated with multipliers of the form. We prove that Tδ* satisfies the sharp weak type (p,p) inequality on Hp(Rn) when 2(n-1)2n-12(n-1)2n-1 and δ>n(1p-1)+12. We also obtain that Tδ is bounded from Lp(Rn) to Lp(Rn) for δ>max{2|1p-12|-12,0} and 1<;p<∞. The indicated ranges of parameters p and δ cannot be improved.",
keywords = "Certain product type, Convex domain, Lp bound, Multipliers, Weak type (p,p)",
author = "Sunggeum Hong and Joonil Kim and Yang, {Chan Woo}",
note = "Funding Information: ✩ The first author was supported by the National Research Foundation (NRF) grant funded by the Korea government (MEST) (No. 2010-0017180). The second author was supported by the Korea Research Foundation (KRF) grant funded by the Korea government (MEST) (No. 2011-0002587). The third author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0013545). * Corresponding author. E-mail addresses: skhong@chosun.ac.kr (S. Hong), jikim7030@yonsei.ac.kr (J. Kim), cw_yang@korea.ac.kr (C.W. Yang).",
year = "2011",
month = aug,
day = "15",
doi = "10.1016/j.jmaa.2011.02.070",
language = "English",
volume = "380",
pages = "585--606",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",
}