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Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights

Songxiao Li|Juntao Du
대한수학회 (The Korean Mathematical Society)|2021.05|대한수학회보 (Bulletin of the KMS)|제58권 제3호|pp. 767-779|DOI 10.4134/BKMS.b200561

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키워드

Toeplitz operatordoubling weightWeighted Bergman spaceSchatten-Herz class
주제분류수학

초록

Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights are investigated in this paper.

Abstract

Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights are investigated in this paper.

참고문헌 (12)

  1. Boorim Choe, "Positive Toeplitz Operators of Schatten–Herz Type", Nagoya Mathematical Journal, 185, pp.31~62 (2007), Cambridge University Press (CUP)[DOI]
  2. Eun Sun Choi, "Schatten–Herz type positive Toeplitz operators on pluriharmonic Bergman spaces", Journal of Mathematical Analysis and Applications, 327(1), pp.679~694 (2007), Elsevier BV[DOI]
  3. Zhangjian Hu, "Schatten(-Herz) class extended Ces`aro operators on Bergman spaces in the unit ball of Cn", Proceedings of the American Mathematical Society, 138(08), pp.2803~2803 (2010), American Mathematical Society (AMS)[DOI]
  4. Maribel Loaiza, "Herz Classes and Toeplitz Operators in the Disk", Integral Equations and Operator Theory, 53(2), pp.287~296 (2005), Springer Science and Business Media LLC[DOI]
  5. X. F. L¨u, "Schatten(-Herz)classes of Toeplitz operators on weighted Bergman spaces", Acta Math. Sinica(Chin. Ser. ), 53(4), pp.699~716 (2010)
  6. Xiaofen Lv, "Schatten-Herz class Toeplitz operators on harmonic Bergman spaces of smooth domains in Rn", Mathematische Nachrichten, 286(2-3), pp.248~259 (2013), Wiley[DOI]
  7. J. Pel´aez, "Proceedings of the Summer School in Complex and Harmonic Analysis, and Related Topics", pp.29~98 (2016), Univ. East. Finl., Fac. Sci. For
  8. J. Pel´aez, "Weighted Bergman spaces induced by rapidly increasing weights", Mem. Amer. Math. Soc, 227(1066), pp.vi+124~ (2014)
  9. José Ángel Peláez, "Trace class criteria for Toeplitz and composition operators on small Bergman spaces", Advances in Mathematics, 293, pp.606~643 (2016), Elsevier BV[DOI]
  10. J. Pel´aez, "Two weight inequality for Bergman projection", J. Math. Pures Appl, 105(1), pp.102~130 (2016)[DOI]
  11. José Ángel Peláez, "Berezin Transform and Toeplitz Operators on Bergman Spaces Induced by Regular Weights", The Journal of Geometric Analysis, 28(1), pp.656~687 (2018), Springer Science and Business Media LLC[DOI]
  12. K. Zhu, "Operator theory in function spaces" (2007), American Mathematical Society

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