Research Publications

Professor Romesh Kumar

Selected  Publications:

•  Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem, Complex Variables and Elliptic Equations 67 No. 10 (2022) (10), 2545-255 ( with  Kulbir Singh)

•  Some Fundamental Theorems of Functional Analysis with Bicomplex and Hyperbolic Scalers,Advances in Applied Clifford Algebras,  Springer Basel 66 (2020) 1- 23.      (with HeeraSaini and  A. Sharma )

•  Topological Bicomplex Modules,  Adv. Appl. Clifford Algebras, Springer Basel  26 (2016), 1249- 1270.  ( with Heera Saini)

•  Bicomplex weighted Hardy spaces and Bicomplex C*- algebras, Adv. Appl. Clifford Algebras, Springer Basel,  26 (2016), 217–235.  ( with K. Singh, H. Saini and S. Kumar)

 •  Bicomplex Linear Operators on Bicomplex Hilbert  Spaces and Littlewood’s  Subordination Theorem,  Adv. Appl. Clifford Algebras, Springer      Basel  25 (2015), 591–610.   ( with K. Singh)

 •  Compactness and essential norms of composition operators on Orlicz Lorentz spaces, Applied Mathematics Letters, 25(2012), 1778 –  1783. ISSN 0893-9659 ( with Y. Cui, H. Hudzik, and Rajeev Kumar)

•    Boundedness,  compactness and Schatten-class membership of weighted composition operators, Integral Equations Operator Theory 67      (2010), no. 4, 467–479. (with E. A.Gallardo- Gutiérrez and J. R. Partington)

•    Composition operators on Orlicz-Lorentz spaces, Integral Equations and Operator Theory, (Birkhauser) 60 (2008), 79 – 88. (with Rajeev Kumar)

•   Essential norm  of  weighted composition operator on  the Dirichlet space, Extracta Math. 21(3) (2006), 249-259.  ISSN 0213-8743 ( with K. J. Singh)

•   Matrix Multiplication operators on Banach Function spaces, Proc. Indian Acad. Sci. (Math.Sci.)  116, No.1, (2006), 71-8 (    with H. Hudzik  and  Rajeev   Kumar  )

•   Composition operators on Banach function spaces, Proc. Amer. Math. Soc.133 (2005), 2109 – 2118. ISSN 0002-9939(p); 1088-6826(e)  (with Rajeev Kumar) Impact factor: 0.640.

•   On finite dimensional algebras generated by composition operators on Orlicz sequence space with weight, Houston J. Math. , 31, No 4, (2005), 1135 0362-1588 (with Rajeev Kumar) .

•   Compact composition operators on Lorentz spaces, Matematicki Vesnik , 57 (2005), 109 –112. ISSN 0025-5165 ( with Rajeev Kumar )

•    Composition operators in Orlicz spaces, J. Austral. Math. Soc., 76 (2004) 189 – 206. ISSN 1446-7887 EISSN 1446-8107  (with Y. Cui, H.  Hudzik, and L. Maligranda)

•    Weighted composition operators on Hardy and Bergmann spaces, in D. Gaspar ,  I  Gohberg, D. Timotin, F.H. Vasilescu, L. Zsido: Recent  advances in   operator theory, and their applications,       Proc. XIXth International Conference on Operator Theory   (Timisoara), 2002, Operator Theory: Advances and Applications, Vol. 153, Birkhäuser (2004), 157-167. ISBN 3-7643-7127-7. (with J. R.  Partington)

•      Carleson measure and compact composition operators on Hardy spaces of upper-half plane, Extracta Math. Vol 15, No. 1 (2000), 175- 180.  ISSN 0213-8743 (with S.D. Sharma)

•      Composition operators on Orlicz spaces, Integral Equations and Operator Theory, 29 (1997), 17-22.  

•      Substitution operators on a space of infinitely differentiable functions, Indian J.  Pure and Applied Math., 26(5) (1995) 441-443.  (with R.K. Singh and N. Lal). )

•      Inner functions and subtitution operators, Acta Sci. Math (Szeged) 58 (1993) 509-516 .  ( with S. D. Sharma)

Publications by Prof. K. S. Charak (2016- 2022)

• A Value distribution result related to Hayman's alternative,  Commun. Korean Math. Soc., 34(2)(2019), 495-506 (with Anil Singh).
•  Fatou and Julia like sets, Ukrains’kyi Matematychnyi Zhurnal (Ukranian J. Math.), 73(10) (2021), 1432-1438 (with Anil Singh and Manish Kumar).
• Fatou and Julia like sets II, Filomat, 35(8) (2021), 2721-2730 (with Anil Singh and Manish Kumar)
• Lappan's normality criterion in C^n, Some remarks on primeness and dynamics of some classes of entire functions,  The Journal of Analysis, https://doi.org/10.1007/s41478-022-00396-z, (2022), 1-15(with Rahul Kumar).
• Corrigendum to a Paper by Charak and Laine,  Acta Math. Sin. Engl. Ser., 36(12) (2020), 1441-1444 (with Ilpo Laine)
• Normality criteria involving differential polynomials,  Boleti’n de la Sociedad Matema’tica Mexicana, 26(2) (2020), 425-441 (with Virender Singh).
• Unified Value Sharing of Meromorphic Functions, In Formal and Analytic Solutions of Differential Equations, (2022), 205-222 (with Risto Korhonen and Gaurav Kumar).
• Uniqueness of some differential polynomials, Hiroshima  Math. J., 48(3) (2018), 347-361.  (with Banarsi lal).
• Uniqueness of differential polynomials sharing one value,  Bull. Cal. Math. Soc. 110(5) (2018), 369-384. (with Banarsi lal).
• A value distribution result leading to  normality criteria,  Southeast Asian Bull. Math., 41 (2017), 481–489. (with Shittal Sharma).
• Value distribution and normality of meromorphic functions involving partial sharing of small functions, Turkish J. Math. 41(2) (2017), 404-411. (with Shittal Sharma).
• Some normality criteria and a counterexample to the converse of Bloch’s principle, Bull. Aust. Math. Soc.,95(2) (2017), 238-249. (with Shittal Sharma).
• Baker’s question on dynamics of permutable entire functions, Math. Newsl. 26/27(4-1)) (2016), 125-131. MR3559751.
• Partial sharing of a set of  meromorphic functions and  normality, New Trends Math, Sci. 4(2) (2016), 220-226. (with Virender Singh, Banarsi lal and Shittal Sharma)..
• Uniqueness of p(f) and P(f), Turkish J. Math. 40(3) (2016), 569-581. (with Banarsi lal).
• Sharing of a set of meromorphic functions and Montel’s theorem,  Arch. Math. (Basel), 106(3) (2016),257-263.(with Virender Singh).
• A note on partial sharing of values of meromorphic unctions with their shifts,  J. Math. Anal. Appl., 435(2) (2016), 1241-1248. (with Risto Korhonen and Gaurav Kumar).

Publications by Dr. Shallu Sharma (2016-2022)

• A Note on Convolutions and Composite Convolutions Operators, Int. J.  Math. Trends and Technology, Vol. 36(2016), 28-33. (UGC)
•  Weyl Spectrum of Composition Operator on ℓ₂(N), Global Journal of Pure and Applied Mathematics, Vol.13 No.11, 2017, 7963-7968. (SCOPUS)
• On Almost beta- Topological Vector Space, Open Access Library Journal, Vol. 6 (2018), 1-9. (UGC)
• On Pretopological Vector Space, Earthline Journal of Mathematics, Vol. 1(2018), 241-254.
• On Almost s-Topological Vector Space, Journal of Advanced Studies in Topology, 9:2(2018), 139-146. (UGC)
• On Almost Pretopological Vector Space, Open Access Library Journal, Vol. 5(2018), 1-10. (UGC)
• Corrigendum to: On irresolute Topological Vector Space, New Trends in Mathematical Sciences, Vol.6(2018), 40-44. (UGC)
• On beta-Topological Vector Space, Journal of Linear and Topological Algebra, Vol. 08,(2019), 63-70. (UGC-CARE)
•  On Characterization of s-Topological Vector Space, New trends in Mathematical Science, No. 1(2019), 57-61. (UGC)
•  On α-Irresolute Topological Vector Space, Int. Jour. of Math. Trends   and Tech., Vol. 65(2019), 1-5.
• On Semi-Topological Ring, Malaya Journal of Mathematik, Vol.7(2019), 808-812. (UGC-CARE)
• On Almost α-Topological Vector Space, Missouri J. Math. Sci., Vol. 32, No. 1(2020), 80-87. (SCOPUS)
• On α-Topological Vector Space, Malaya Journal of Mathematik, Vol. 8, No. 3(2020), 1126-1131. (UGC-CARE)
• β-Topological Rings, Journal of Algebra and Related Topics Vol. 9, No 1, (2021), 51-60. (UGC-CARE)
• On Characterization of δ-Topological Vector Space, Ratio Mathematica, Volume 40(2021), 113-121. (UGC-CARE)

Publications by Dr. Tirth Ram  (2016-2022)

• Setvalued mixed quasi-equilibrium problems with operator solutions, Nonlinear Functional Analysis and Applications, 27(1), (2022), 83-97 (with A. K. Khanna and R. Kour) Scopus

• H(.,.,.)\phi-η co-coercive operator with applications to variational inclusions, Int. J. Nonlinear Anal. Appl.13(1) (2022), 1311-1327 (with M. Iqbal) Scopus and Web of Science

• On optimal solutions of well-posed problems and variational inequalities, Nonlinear Functional Analysis and Applications, 26(4), (2021), 781-792 (with J. K. Kim and R. Kour) Scopus

• Existence results on generalized strong operator equilibrium problem in Hausdorff TVS, Commun. Optim. Theory 2021(2021), ID 14(with Parshotam Lal) UGC Care List
• Lexicographical operator equilibrium problems, J. Math. Comput. Sci 11(2021), 2727-2735 (with A.K. Khanna) Scopus 
• Existence results for generalized vector quasi equilibrium problems, Malaya Journal of Matematik 8(4) (2020), 1675- 1680 (with P. Lal) UGC Care List
• On generalized implicit operator equilibrium problems, Filomat 33(12), (2019), 3823-3831 (with A.K. Khanna) SCI
• Operator solutions of generalized equilibrium problems in Hausdorff topological vector spaces, Nonlinear Functional Analysis and Applications, 24(1) (2019), 61-71(with P. Lal) Scopus
• Densely defined perturbed vector equilibrium problems, New Trends in Mathematical Sciences, 7(1) (2019), 79-89 (with P. Lal) UGC List
• On η- generalized operator variational-like inequalities, Communications in Optimization Theory, (2018), 1-11(J.K. Kim and A.K. Khanna) UGC Care List
• On perturbed quasi equilibrium problems with operator solutions, Nonlinear Functional Analysis and Applications, 22(2), (2017), 385-394 (with A.K. Khanna) Scopus
• On generalized weak operator quasi- equilibrium problems, Global Journal of Pure and Applied Mathematics, 13(8) (2017), 4189 – 4198 (with A.K. Khanna) Scopus