Dr. Mahesh Kumar

Research Papers in Journals

  •  Kumar, Mahesh , Asymptotics and isometries of weighted composition operators on Banach spaces of holomorphic functions. Complex Anal. Oper. Theory 15 (2021), no. 3, Paper No. 48, 22 pp.
  •  Kumar, Mahesh , Weighted/unweighted composition operators which are Ritt or unconditional Ritt operators. Arch. Math. (Basel) 116 (2021), no. 3, 307–319.
  • Arendt, W.; Chalendar, I.; Kumar, M.; Srivastava, S. Powers of composition operators: asymptotic behaviour on Bergman, Dirichlet and Bloch spaces. J. Aust. Math. Soc. 108 (2020), no. 3, 289–320.https://doi.org/10.1017/S1446788719000235
  •   Kumar, M.; Srivastava, S. Convergence of powers of composition operators on certain spaces of holomorphic functions defined on the right half plane. Arch. Math. (Basel) 110 (2018), no. 5, 487–500. https://link.springer.com/article/10.1007/s00013-018-1159-z
  •  Arendt, Wolfgang; Chalendar, Isabelle; Kumar, Mahesh; Srivastava, Sachi Asymptotic behaviour of the powers of composition operators on Banach spaces of holomorphic functions. Indiana Univ. Math. J. 67 (2018), no. 4, 1571–1595.              https://doi.org/10.1512/iumj.2018.67.7389

Paper Presentations in Seminars/Conferences

  • Delivered an invited lecture in the Online MoNum Seminars on the topic “Asymptotics of Composition Operators/Weighted Composition Operators on Hardy spaces, weighted Bergman spaces and disc algebra” on 9th December 2021.
  •  Delivered a talk titled “Composition operators which are similar to an isometry on various Banach spaces of Holomorphic Functions on the open unit disc” on December 14, 2018 in the International Conference on “Recent Advances in Operator Theory and Operator Algebras 2018” held at the Indian Statistical Institute, Bangalore Centre during December 13-19, 2018.
  •  Delivered a contributed talk titled “Asymptotics of Composition Operators on Banach Spaces of Holomorphic Functions” on December 20, 2017 in the International Workshop on Recent Advances in Operator Semigroups held at the Department of Mathematics, University of Delhi, during December 18-21, 2017.
  • Delivered an invited lecture on “Application of 2 by 2 Matrices” at Daulat Ram College, University of Delhi, Delhi on 10th June, 2016.
  • Delivered a talk titled “The Dirichlet Laplacian as generator on spaces of continuous functions” on June 25, 2014 in the 17th Internet Seminar workshop on ‘Evolution Equations 2013/14: Positive Operator Semigroups and Applications’, at Heinrich- Fabri Institut in Blaubeuren (Germany), 22-28th June, 2014.