List of Research Publications
Publication Links: ORCID, Scopus, AMS Math Rev., Google Scholar, arXiv.
Communicated article(s):
P. Muthukumar, Jaydeb Sarkar and Batzorig Undrakh, Finite-dimensional model spaces invariant under composition operators, Submitted, 2025, 32 pages.
Preeti Kumari and P. Muthukumar, Composition operators on reproducing kernel Hilbert spaces, Submitted, 2025, 14 pages.
2026:
V. A. Anjali, P. Muthukumar and P. Shankar, Composition operators between Beurling subspaces of Hardy space, J. Math. Anal. Appl., 554 (1), 2026, Art. 129929, 15pp.
2025:
Kanha Behera, Rahul Maurya and P. Muthukumar, Automorphisms of subalgebras of bounded analytic functions, J. Math. Anal. Appl., 552 (2), 2025, Art. 129804, 15pp.
2023:
P. Muthukumar, Ajay K. Sharma and Vivek Kumar, Weighted composition operators between weighted Hardy spaces on rooted trees, Mediterr. J. Math. 20 (2), 2023, Art. 61, 20pp.
P. Muthukumar and Jaydeb Sarkar, Model spaces invariant under composition operators, Canad. Math. Bull. 66 (1), 2023, 204--217.
2022:
P. Muthukumar and P. Shankar, Multiplication operators between discrete Hardy spaces on rooted trees, Lobachevskii J. Math. 43 (11), 2022, 3252--3263.
2021:
Snehasish Bose, P. Muthukumar and Jaydeb Sarkar, Beurling type invariant subspaces of composition operators, J. Operator Theory 86 (2), 2021, 425--438.
2020:
P. Muthukumar and S. Ponnusamy, Composition operators on Hardy spaces of the homogenous rooted trees, Monatsh. Math. 192 (3), 2020, 721--743.
2018:
P. Muthukumar and S. Ponnusamy, Weighted composition operators on the class of subordinate functions, Rocky Mountain J. Math. 48 (6), 2018, 2055--2068.
P. Muthukumar, S. Ponnusamy and Herve Queffelec, Estimate for norm of a composition operator on the Hardy-Dirichlet space, Integral Equations and Operator Theory 90 (1), 2018, Art. 11, 12pp.
2017:
P. Muthukumar and S. Ponnusamy, Composition operators on the discrete Hardy space on homogenous trees, Bull. Malays. Math. Sci. Soc. 40 (4), 2017, 1801--1815.
P. Muthukumar and S. Ponnusamy, Discrete analogue of generalized Hardy spaces and multiplication operators on homogenous trees, Anal. Math. Phys. 7 (3), 2017, 267--283.