본문 바로가기
KERD
논문KCI 등재

Quantitative weighted estimates for oscillatory singular integrals with rough kernels

Yanping Chen|Wenyu Tao
대한수학회 (The Korean Mathematical Society)|2022.01|대한수학회보 (Bulletin of the KMS)|제59권 제1호|pp. 191-202|DOI 10.4134/BKMS.b210219

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

rough kernelOscillatory singular integralsquantitative weighted bounds
주제분류수학

초록

In this paper, we obtain the quantitative weighted bounds of oscillatory singular integral with rough kernel. Moreover, the quantitative weighted bounds of maximally truncated oscillatory singular integral with rough kernel are also obtained.

Abstract

In this paper, we obtain the quantitative weighted bounds of oscillatory singular integral with rough kernel. Moreover, the quantitative weighted bounds of maximally truncated oscillatory singular integral with rough kernel are also obtained.

참고문헌 (18)

  1. H. M. Al-Qassem, "Rough oscillatory singular integrals on Rn", Studia Math, 221(3), pp.249~267 (2014)[DOI]
  2. S. M. Buckley, "Estimates for operator norms on weighted spaces and reverse Jensen inequalities", Trans. Amer. Math. Soc, 340(1), pp.253~272 (1993)[DOI]
  3. J. M. Conde-Alonso, "A sparse domination principle for rough singular integrals", Anal. PDE, 10(5), pp.1255~1284 (2017)[DOI]
  4. D. Fan, "Singular integral operators with rough kernels supported by subva"rieties", Amer. J. Math, 119(4), pp.799~839 (1997)
  5. N. Fujii, "Weighted bounded mean oscillation and singular integrals", Math. Japon, 22(5), pp.529~534 (1977)
  6. T. Hyt¨onen, "Sharp weighted bounds involving A∞", Anal. PDE, 6(4), pp.777~818 (2013)[DOI]
  7. T. P. Hyt¨onen, "Quantitative weighted estimates for rough homogeneous singular integrals", Israel J. Math, 218(1), pp.133~164 (2017)[DOI]
  8. B. Krause, "Sparse bounds for maximally truncated oscillatory singular integrals", Ann. Sc. Norm. Super. Pisa Cl. Sci, 20(2), pp.415~435 (2020)
  9. M. T. Lacey, "An elementary proof of the A2 bound", Israel J. Math, 217(1), pp.181~195 (2017)[DOI]
  10. A. K. Lerner, "A note on weighted bounds for rough singular integrals", C. R. Math. Acad. Sci. Paris, 356(1), pp.77~80 (2018)[DOI]
  11. K. Li, "Weighted norm inequalities for rough singular integral operators", J. Geom. Anal, 29(3), pp.2526~2564 (2019)[DOI]
  12. S. Z. Lu, "Criterion on Lp-boundedness for a class of oscillatory singular integrals with rough kernels", Rev. Mat. Iberoamericana, 8(2), pp.201~219 (1992)
  13. H. Ojanen, "Weighted estimates for rough oscillatory singular integrals", J. Fourier Anal. Appl, 6(4), pp.427~436 (2000)[DOI]
  14. F. Di Plinio, "Sparse bounds for maximal rough singular integrals via the Fourier transform", Ann. Inst. Fourier(Grenoble), 70(5), pp.1871~1902 (2020)
  15. F. Ricci, "Harmonic analysis on nilpotent groups and singular integrals. I. Oscillatory integrals", J. Funct. Anal, 73(1), pp.179~194 (1987)[DOI]
  16. E. M. Stein, "Interpolation of operators with change of measures", Trans. Amer. Math. Soc, 87, pp.159~172 (1958)[DOI]
  17. J. M. Wilson, "Weighted inequalities for the dyadic square function without dyadic A∞", Duke Math. J, 55(1), pp.19~50 (1987)[DOI]
  18. H. Wu, "Boundedness of higher order commutators of oscillatory singular integrals with rough kernels", Studia Math, 167(1), pp.29~43 (2005)[DOI]

이 간행물의 다른 논문 (17건)

On weighted Browder spectrumPreeti Dharmarha, Sarita Kumaripp. 1-13On the existence of Graham partitions with congruence conditions김지영, 이상준, 이종규, 박부성, 김병찬pp. 15-25One-sided fattening of the graph in the real projective plane최재우, 주항연pp. 27-43Bernstein-Walsh type inequalities for derivatives of algebraic polynomialsCevahir D. Gun, Fahreddin G. Abdullayevpp. 45-72The images of locally finite $\mathcal{E}$-derivations of polynomial algebrasDan Yan, Lintong Lvpp. 73-82
원문 보기