American Journal of Mathematics and Statistics

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.

Ajay Sharma

Editorial Board Member of American Journal of Mathematics and Statistics

Doctoral, Shri Mata Vaishno Devi University, India

Research Areas

Functional Analysis, Functions of Complex Variables, Operator Theory

Academic Achievement

NET/JRF (2002-04), SRF(2004-06)

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  Ajay K. Sharma, Generalized composition operators between weighted Bergman spaces, Acta Sci. Math., (To appear).
[2]  Ajay K. Sharma, S. Ueki, On compactness of composition operators on Bergman-Orlicz spaces, Annales Polonici mathematici (To appear).
[3]  Anshu Sharma, Ajay K. Sharma, Carleson measures and a class of integration operators on Bergman spaces, Rocky Mountain J. Math.(2011) (To appear).
[4]  Stevo Stevic, Ajay K. Sharma, Essential norm of products of composition multiplication and differentiation between weighted Bergman spaces, Applied Mathematics and Computation, (to appear).
[5]  Stevo Stevic, Ajay K. Sharma, Composition operators from the space of cauchy transforms to Bloch and the little Bloch-type spaces on the unit disk, Applied Mathematics and Computation, 217(24):10187-10194 (2011).
[6]  Stevo Stevic, Ajay K. Sharma, Integral-type operators from Bloch-type spaces to Q_K spaces, Abstract and applied analysis (To appear). 2011
[7]  Stevo Stevic, Ajay K. Sharma and S. D. Sharma, Weighted composition operators from weighted Bergman spaces to weighted type spaces of the upper half-plane, Abstract and applied analysis (2011), Article ID 989625, 10 pages.
[8]  Stevo Stevic, Ajay K. Sharma and Ambika Bhat, Products of composition multiplication and differentiation between weighted Bergman spaces, Applied Mathematics and Computation, 217 (2011), 8115-8125.
[9]  Stevo Stevic, Ajay K. Sharma, Weighted composition operators between Hardy and growth spaces of the upper half-plane, Applied Mathematics and Computation, 217 (2011) 4928–4934.
[10]  Stevo Stevic, Ajay K. Sharma, Essential norm of composition operators between weighted Hardy spaces, Applied Mathematics and Computation, 217 (2011) 6192–6197.
[11]  Stevo Stevic, Ajay K. Sharma, Weighted composition operators between growth spaces of the upper-half plane, Util. Math, 84 (2011) 265–272.
[12]  Ajay K. Sharma, Generalized composition operators on the Bergman space, Demononstratio Math. 44 (2011), 359-372.
[13]  Ajay K. Sharma, Anahu Sharma and Ambika Bhat, Integral-type operators between weighted Bergman and Bloch-type spaces International J. of Math. Sci. & Engg. Appls, (to appear) (2011).
[14]  Kuldip Raj, Ajay K. Sharma and Sunil K. Sharma, A sequence space defined by Musielak-Orlicz function, International J. of Pure and Applied Math., 67 (2011), 475-484.
[15]  Kuldip Raj, Sunil K. Sharma and Ajay K. Sharma, Some new sequence spaces defined by a sequence of modulus functions in n-normed spaces, International J. of Math. Sci. & Engg. Appls, 5 (2011), 395-403.
[16]  S. D. Sharma, Ajay K. Sharma, Composition operators between weighted Bergman Nevanlinna and Zygmund spaces, Proceedings of the conference of the Jammu Math. Soc., (2011) (To appear).
[17]  Kuldip Raj, Sunil K. Sharma and Ajay K. Sharma, Difference sequence spaces in n-normed spaces defined by Musielak-Orlicz function, Armenian journal of Mathematics, 3 (2010) 127-141.
[18]  Ajay K. Sharma, Products of composition multiplication and differentiation between Bergman and Bloch type spaces, Turkish. J. Math. 35 (2011), 275-291.
[19]  Ajay K. Sharma, Kuldip Raj, Sunil K. Sharma, Inequalities involving upper and lower bounds for certain operators on lp-spaces, Advances in Theoretical and Applied Mathematics, 5 (2010), 339-345.
[20]  S. D. Sharma, Ajay K. Sharma, Weighted composition operators some spaces of analytic functions, Progress in analysis and applications, World Scientific Proceeding, 7th ISAA Conference held at London, 2010, 279-286.
[21]  S. D. Sharma, Ajay K. Sharma, Zaheer Abbas, Weighted composition operators on vector-valued Bergman spaces of upper-half plane, App. Math. Sci. 4(41), (2010), 2049-2063.
[22]  Ajay K. Sharma, Zaheer Abbas, Weighted composition operators between Bergman-Nevanlinna and Bloch spaces, App. Math. Sci. 4(41), (2010), 2039-2048.
[23]  Ajay K. Sharma, Zaheer Abbas, Weighted composition operators between weighted between Bergman-Nevanlinna and Growth spaces, Int. Journal of Math. Analysis, 4(26), (2010), 1291-1298
[24]  Ajay K. Sharma, Zaheer Abbas, Composition followed and proceeded by differentiation between Bergman-Nevanlinna and Bloch spaces, J. Adv. Res. in Pure Math., 1, (2009), 53-62.
[25]  Ajay K. Sharma, Volterra composition operators between weighted Bergman-Nevanlinna and Bloch-type spaces, Demonstratio Math. 42(3), (2009), 607-618.
[26]  Ajay K. Sharma, Compact composition operators on generalized Hardy spaces. Georgian J. Math., 15(4), (2008) 775-783.
[27]  Ajay K. Sharma, S. D. Sharma, Compact composition operators on Hardy-Orlicz spaces. Math. Vesnik, 60, (2008) 215-224.
[28]  Rajesh Sharma, Ajay K. Sharma, On growth of semi-conjugated entire functions, Int. Math. Forum, 3, no. 44, (2008) 2175-2179.
[29]  Ajay K. Sharma, S. D. Sharma, Composition operators between Bergman-Orlicz spaces, Bull. Austral. Math. Soc., 75, no.2, (2007) 273-287.
[30]  Ajay K. Sharma, Rekha Kumari, Weighted composition operators between Bergman and Bloch spaces, Comm. Korean Math. Soc., 22, no.3, (2007) 373-382.
[31]  Ajay K. Sharma, Vijay Kumar, Weighted composition operators between Bergman-type and weighted Banach spaces, Int. J. Math. Anal. (Ruse), 1, no. 9-12, (2007) 471-478.
[32]  Ajay K. Sharma, S. D. Sharma, Sanjay Kumar, Weighted composition followed by differentiation between Bergman spaces, Int. Math. Forum, 2, no. 33-36, 1647-1656 (2007).
[33]  S. D. Sharma, Ajay K. Sharma, Shabir Ahmed, Composition operators between Hardy and Bloch-type space of the upper-half plane, Bull. Korean Math. Soc., 44, no. 3, 475-482 (2007).
[34]  Ajay K. Sharma, S. D. Sharma, Riemann-Stieltjes oprators between Bloch and weighted Bergman spaces, Int. J. Contemp. Math. Sci., 2, no. 16, 759-772 (2007).
[35]  Ajay K. Sharma, S. D. Sharma, Rekha Singh, Concrete operators on abstract functional Hilbert spaces, Int. J. Math. Anal., 1, no. 5-8, 339-354 (2007).
[36]  Ajay K. Sharma, S. D. Sharma, Weighted composition operators between Bergman-type spaces, Comm. Korean Math. Soc., 21, no.3, 465-474 (2006).
[37]  S. D. Sharma, Ajay K. Sharma, Composition operators on the Bergman-Nevanlinna classes, Proceedings of the First Advanced Course in Complex Analysis and Operator Theory, Universidad de Sevilla (Spain), 2006, 123-132.
[38]  S. D. Sharma, Ajay K. Sharma, Shabir Ahmed, Carleson measures in a vector-valued Bergman space, J. Anal. and Appl., 4, 65-76, (2006).