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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3

Weighted boundedness for Toeplitz type operator associated to singular integral operator with variable Calderón-Zygmund kernel

Dazhao CHEN
Sayfa
657–668
Yayın Tarihi
2019-06-15
DOI
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As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the singular integral operator with variable Calderón- Zygmund kernel.
📊
Temel Bulgular & Veri:In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the singular integral operator with variable Calderón- Zygmund kernel.
💡
Sonuç & Katkı:As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Toeplitz type operator · singular integral operator · sharp maximal function

Abstract

In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the singular integral operator with variable Calderón- Zygmund kernel. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

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Bu Makaleye Atıf Yap

CHEN, D. (2019). Weighted boundedness for Toeplitz type operator associated to singular integral operator with variable Calderón-Zygmund kernel. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 3, 657–668. https://ajindex.com/articles/669356

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Kaynakça (17)

  1. S. Bloom, A commutator theorem and weighted BMO, Trans. Amer. Math. Soc. 292, 103–122, 1985. A.P. Calderón and A. Zygmund, On singular integrals with variable kernels, Appl. Anal. 7, 221–238, 1978.
  2. S. Chanillo, A note on commutators, Indiana Univ. Math. J. 31, 7-16, 1982.
  3. R. Coifman and R. Rochberg, Another characterization of BMO, Proc. Amer. Math. Soc. 79, 249–254, 1980.
  4. R.R. Coifman, R. Rochberg, and G. Weiss, Factorization theorems for Hardy spaces in several variables, Ann. of Math. 103, 611–635, 1976.
  5. G. Di FaZio and M.A. Ragusa, Commutators and Morrey spaces, Boll. Un. Mat. Ital. 5-A(7), 323–332, 1991.
  6. G. Di Fazio and M.A. Ragusa, Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients, J. Funct. Anal. 112, 241–256,1993.
  7. J. Garcia-Cuerva, Weighted Hp spaces, Dissertationes Math. 162, 63 pp., 1979. J. Garcia-Cuerva and J.L. Rubio de Francia, Weighted norm inequalities and related topics, North-Holland Mathematics Studies, 116, Amsterdam, 1985.
  8. Y. X. He and Y. S. Wang, Commutators of Marcinkiewicz integrals and weighted BMO, Acta Math. Sinica (Chinese Series), 54, 513–520, 2011.
  9. B. Hu and J. Gu, Necessary and sufficient conditions for boundedness of some commutators with weighted Lipschitz functions, J. Math. Anal. Appl. 340, 598–605, 2008.
  10. S. Janson, Mean oscillation and commutators of singular integral operators, Ark. Math. 16, 263–270, 1978.
  11. Y. Komori and S. Shirai, Weighted Morrey spaces and a singular integral operator, Math. Nachr. 282, 219–231, 2009.
  12. S. Krantz and S. Li, Boundedness and compactness of integral operators on spaces of homogeneous type and applications, J. Math. Anal. Appl. 258, 629–641, 2001.
  13. Y. Lin and S.Z. Lu, Toeplitz type operators associated to strongly singular integral operator, Sci. in China (ser. A Mathematics), 36, 615–630, 2006.
  14. L.Z. Liu, Interior estimates in Morrey spaces for solutions of elliptic equations and weighted boundedness for commutators of singular integral operators, Acta Math. Scientia 25(B), 89–94, 2005.
  15. L.Z. Liu, The continuity for multilinear singular integral operators with variable Calderón-Zygmund kernel on Hardy and Herz spaces, Siberia Elec. Math. Rep. 2, 156–166, 2005.
  16. L.Z. Liu, Good \lambda estimate for multilinear singular integral operators with variable Calderón-Zygmund kernel, Kragujevac J. Math. 7, 19–30, 2005.
  17. L.Z. Liu, Weighted estimates of multilinear singular integral operators with variable Calderón-Zygmund kernel for th