논문KCI 등재
VECTOR-VALUED INEQUALITIES FOR THE COMMUTATORS OF SINGULAR INTEGRALS WITH
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we establish the vector-valued inequalities for the commutators of singular integrals with rough kernels. In particular, our results can essentially improve some well-known results.
Abstract
In this paper, we establish the vector-valued inequalities for the commutators of singular integrals with rough kernels. In particular, our results can essentially improve some well-known results.
참고문헌 (22)
- J. Alvarez, "Weighted estimates for commutators of linear operator", Studia Math, 104(2), pp.195~209 (1993)
- H. Al-Qassem, "Lp estimates for singular integrals with kernels belonging to certain block spaces", Rev. Mat. Iberoamericana, 18(3), pp.701~730 (2002)
- A. Al-Salman, "Singular integrals with rough kernels in Llog L(Sn-1)", J. London Math. Soc, 66(1), pp.153~174 (2002)
- K. Andersen, "Weighted inequalities for vector-valued maximal functions and singular integrals", Studia Math, 69(1), pp.19~31 (1981)
- A. P. Calderon, "On singular integrals", Amer. J. Math, 78, pp.289~309 (1956)
- Y. Chen, "Rough singular integrals on Triebel-Lizorkin space and Besov space", J. Math. Anal. Appl, 347(2), pp.493~501 (2008)
- J. Chen, "Boundedness of rough oscillatory singular integral on Triebel-Lizorkin spaces", J. Math, Anal. Appl, 306(2), pp.385~397 (2005)
- R. Coifman, "Avdela des operate pseudo-differentiles", Asterisque, 57, pp.1~185 (1978)
- J. Duoandikoetxea, "Weighted norm inequalities for homogeneous singular integrals", Trans. Amer. Math. Soc, 336(2), pp.869~880 (1993)
- J. Duoandikoetxea, "Maximal and singular integral operators via Fourier transform estimate", Invent. Math, 84(3), pp.541~561 (1986)
- C. Fefferman, "Some maximal inequalities", Amer. J. Math, 93, pp.107~115 (1971)
- J. Garcia-Cuerva, "Weighted Norm Inequalities and Related Topics" (1985)
- S. Hofmann, "Weighted norm inequalities and vector valued inequalities for certain rough operators", Indiana Univ. Math. J, 42(1), pp.1~14 (1993)
- Y. Hou, "Lp(Rn) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces", Math. Nachr, 282(5), pp.713~725 (2009)
- G. Hu, "Lp(Rn) boundedness for the commutators of homogeneous singular integral op- erators", Studia. Math, 154(1), pp.13~27 (2003)
- G. Hu, "Commutators of convolution operators", Acta. Math. Sinica, 42(2), pp.359~368 (1999)
- S. Lu, "Spaces Generated by Blocks" (1989), Beijing Normal Univer- sity Press
- S. Lu, "Oscillatory singular integrals and commutators with rough kernels", Ann. Sci. Math. Quebec, 27(1), pp.47~66 (2003)
- S. Lu, "Criterion on Lp-boundedness for a class of oscillatory singular integrals with rough kernels", Rev. Math. Iberoamericana, 8(2), pp.201~219 (1992)
- F. Ricci, "Harmonic analysis on nilpotent groups and singular integrals I: Oscillatory integrals", J. Funct. Anal, 73(1), pp.179~194 (1987)
- H. Triebel, "Theory of Function Spaces" (1983), Basel, Birkhauser
- D. Watson, "Vector-valued inequalities, factorization, and extrapolation for a family of rough operators", J. Funct. Anal, 121(2), pp.389~415 (1994)
관련 논문AI추천
Weighted vector-valued bounds for a class of multilinear singular integral operators and applicationsGuo-En Hu, Jiecheng Chen대한수학회 · 대한수학회지2018 · 제55권 제3호Quantitative weighted estimates for oscillatory singular integrals with rough kernelsWenyu Tao, Yanping Chen대한수학회 · 대한수학회보2022 · 제59권 제1호Variational inequalities for the commutator of some singular integral with rough kernelLiu Yang, Yanping Chen대한수학회 · 대한수학회지2025 · 제62권 제4호Quantitative weighted bounds for the vector-valued singular integral operators with nonsmooth kernelsGuoen Hu대한수학회 · 대한수학회보2018 · 제55권 제6호Weighted estimates for certain rough operators with applications to vector valued inequalitiesFeng Liu, Qingying Xue대한수학회 · 대한수학회지2021 · 제58권 제4호Multiple weighted estimates for multilinear commutators of multilinear singular integrals with generalized kernelsLiwen Gao, Shuhui Yang, Yan Lin대한수학회 · 대한수학회지2024 · 제61권 제2호
이 간행물의 다른 논문 (10건)
ON LORENTZIAN QUASI-EINSTEIN MANIFOLDSShyamal Kumar Hui, 김영호, Absos Ali Shaikhpp. 669-689THE COMPETITION NUMBERS OF HAMMING GRAPHS WITH DIAMETER AT MOST THREE박보람, Yoshio Sanopp. 691-702EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF A PERIODIC SOLUTION TO DISCRETE-TIME COHEN-GROSSBERG BAM NEURAL TWORKSLiping Wang, Zhengqiu Zhangpp. 727-747MORSE HOMOLOGY ON NONCOMPACT MANIFOLDSUrs Frauenfelder, Kai Cieliebakpp. 749-774DISTURBANCE ATTENUATION FOR A CLASS OF DISCRETE-TIME SWITCHED SYSTEMS WITH EXPONENTIAL UNCERTAINTYChanglin Li, Fei Long, Guohui Renpp. 775-795
