1 |
H. M. Al-Qassem, L. C. Cheng, and Y. Pan, Boundedness of rough integral operators on Triebel-Lizorkin spaces, Publ. Mat. 56 (2012), no. 2, 261-277. https://doi.org/10.5565/PUBLMAT_56212_01
DOI
|
2 |
D. Fan, K. Guo, and Y. Pan, A note of a rough singular integral operator, Math. Inequal. Appl. 2 (1999), no. 1, 73-81. https://doi.org/10.7153/mia-02-07
DOI
|
3 |
D. Fan and Y. Pan, Singular integral operators with rough kernels supported by subvarieties, Amer. J. Math. 119 (1997), no. 4, 799-839.
DOI
|
4 |
D. Fan and S. Sato, A note on singular integrals associated with a variable surface of revolution, Math. Inequal. Appl. 12 (2009), no. 2, 441-454. https://doi.org/10.7153/mia-12-34
DOI
|
5 |
Y. Chen, Y. Ding, and H. Liu, Rough singular integrals supported on submanifolds, J. Math. Anal. Appl. 368 (2010), no. 2, 677-691. https://doi.org/10.1016/j.jmaa.2010.02.021
DOI
|
6 |
M. Frazier, B. Jawerth, and G. Weiss, Littlewood-Paley theory and the study of function spaces, CBMS Regional Conference Series in Mathematics, 79, Published for the Conference Board of the Mathematical Sciences, Washington, DC, 1991. https://doi.org/10.1090/cbms/079
DOI
|
7 |
L. Grafakos and A. Stefanov, Lp bounds for singular integrals and maximal singular integrals with rough kernels, Indiana Univ. Math. J. 47 (1998), no. 2, 455-469. https://doi.org/10.1512/iumj.1998.47.1521
DOI
|
8 |
A. Al-Salman and Y. Pan, Singular integrals with rough kernels in L log L(Sn-1), J. London Math. Soc. (2) 66 (2002), no. 1, 153-174. https://doi.org/10.1112/S0024610702003241
DOI
|
9 |
Y. S. Jiang and S. Z. Lu, Lp boundedness of a class of maximal singular integral operators, Acta Math. Sinica 35 (1992), no. 1, 63-72.
|
10 |
F. Liu, H. Wu, and D. Zhang, A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces, J. Inequal. Appl. 2013 (2013), no. 492, 13 pp. https://doi.org/10.1186/1029-242X-2013-492
DOI
|
11 |
F. Liu, Q. Xue, and K. Yabuta, Rough maximal singular integral and maximal operators supported by subvarieties on Triebel-Lizorkin spaces, Nonlinear Anal. 171 (2018), 41-72. https://doi.org/10.1016/j.na.2018.01.014
DOI
|
12 |
F. Liu, Q. Xue, and K. Yabuta, Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces, Sci. China Math. 63 (2020), no. 5, 907-936. https://doi.org/10.1007/s11425-017-9416-5
DOI
|
13 |
F. Ricci and E. M. Stein, Harmonic analysis on nilpotent groups and singular integrals. I. Oscillatory integrals, J. Funct. Anal. 73 (1987), no. 1, 179-194. https://doi.org/10.1016/0022-1236(87)90064-4
DOI
|
14 |
S. Sato, Estimates for singular integrals and extrapolation, Studia Math. 192 (2009), no. 3, 219-233. https://doi.org/10.4064/sm192-3-2
DOI
|
15 |
E. M. Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Mathematical Series, 43, Princeton University Press, Princeton, NJ, 1993.
|
16 |
H. Triebel, Theory of function spaces, Monographs in Mathematics, 78, Birkhauser Verlag, Basel, 1983. https://doi.org/10.1007/978-3-0346-0416-1
DOI
|
17 |
K. Yabuta, Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces, Appl. Math. J. Chinese Univ. Ser. B 30 (2015), no. 4, 418-446. https://doi.org/10.1007/s11766-015-3358-8
DOI
|
18 |
K. Yabuta, Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces, J. Inequal. Appl. 2015 (2015), no. 107, 26 pp. https://doi.org/10.1186/s13660-015-0630-7
DOI
|
19 |
C. Zhang and J. Chen, Boundedness of Marcinkiewicz integral on Triebel-Lizorkin spaces, Appl. Math. J. Chinese Univ. Ser. B 25 (2010), no. 1, 48-54. https://doi.org/10.1007/s11766-010-2086-3
DOI
|
20 |
C. Zhang and J. Chen, Boundedness of g-functions on Triebel-Lizorkin spaces, Taiwanese J. Math. 13 (2009), no. 3, 973-981. https://doi.org/10.11650/twjm/1500405452
DOI
|
21 |
S. Korry, Boundedness of Hardy-Littlewood maximal operator in the framework of Lizorkin-Triebel spaces, Rev. Mat. Complut. 15 (2002), no. 2, 401-416. https://doi.org/10.5209/rev_REMA.2002.v15.n2.16899
DOI
|
22 |
W. Li, Z. Si, and K. Yabuta, Boundedness of singular integrals associated to surfaces of revolution on Triebel-Lizorkin spaces, Forum Math. 28 (2016), no. 1, 57-75. https://doi.org/10.1515/forum-2014-0066
DOI
|
23 |
F. Liu, Integral operators of Marcinkiewicz type on Triebel-Lizorkin spaces, Math. Nachr. 290 (2017), no. 1, 75-96. https://doi.org/10.1002/mana.201500374
DOI
|
24 |
F. Liu, On the Triebel-Lizorkin space boundedness of Marcinkiewicz integrals along compound surfaces, Math. Inequal. Appl. 20 (2017), no. 2, 515-535. https://doi.org/10.7153/mia-20-35
DOI
|
25 |
F. Liu, Boundedness and continuity of several integral operators with rough kernels in WFβ(Sn-1) on Triebel-Lizorkin spaces, J. Funct. Spaces 2018 (2018), Art. ID 6937510, 18 pp. https://doi.org/10.1155/2018/6937510
DOI
|
26 |
F. Liu, A note on Marcinkiewicz integral associated to surfaces of revolution, J. Aust. Math. Soc. 104 (2018), no. 3, 380-402. https://doi.org/10.1017/S1446788717000143
DOI
|
27 |
F. Liu, Rough maximal functions supported by subvarieties on Triebel-Lizorkin spaces, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM 112 (2018), no. 2, 593-614. https://doi.org/10.1007/s13398-017-0400-0
DOI
|
28 |
F. Liu and H. Wu, Rough singular integrals supported by submanifolds in Triebel-Lizorkin spaces and Besove spaces, Taiwanese J. Math. 18 (2014), no. 1, 127-146. https://doi.org/10.11650/tjm.18.2014.3147
DOI
|
29 |
F. Liu, Boundedness and continuity of maximal operators associated to polynomial compound curves on Triebel-Lizorkin spaces, Math. Inequal. Appl. 22 (2019), no. 1, 25-44. https://doi.org/10.7153/mia-2019-22-02
DOI
|
30 |
F. Liu, Z. Fu, and S. T. Jhang, Boundedness and continuity of Marcinkiewicz integrals associated to homogeneous mappings on Triebel-Lizorkin spaces, Front. Math. China 14 (2019), no. 1, 95-122. https://doi.org/10.1007/s11464-019-0742-3
DOI
|
31 |
F. Liu and H. Wu, Singular integrals related to homogeneous mappings in Triebel-Lizorkin spaces, J. Math. Inequal. 11 (2017), no. 4, 1075-1097. https://doi.org/10.7153/jmi-2017-11-81
DOI
|
32 |
F. Liu and H. Wu, On the regularity of maximal operators supported by submanifolds, J. Math. Anal. Appl. 453 (2017), no. 1, 144-158. https://doi.org/10.1016/j.jmaa.2017.03.058
DOI
|
33 |
J. Chen, D. Fan, and Y. Ying, Singular integral operators on function spaces, J. Math. Anal. Appl. 276 (2002), no. 2, 691-708. https://doi.org/10.1016/S0022-247X(02)00419-5
DOI
|
34 |
J. Chen and C. Zhang, Boundedness of rough singular integral operators on the Triebel-Lizorkin spaces, J. Math. Anal. Appl. 337 (2008), no. 2, 1048-1052. https://doi.org/10.1016/j.jmaa.2007.04.026
DOI
|
35 |
L. Colzani, Hardy spaces on spheres, PhD thesis, Washington University, St. Louis, 1982.
|
36 |
K. Al-Balushi and A. Al-Salman, Certain Lp bounds for rough singular integrals, J. Math. Inequal. 8 (2014), no. 4, 803-822. https://doi.org/10.7153/jmi-08-61
DOI
|