Subclasses of Delta-subharmonic Functions of Bounded Type in the Halfplane

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Functions of Omega-Bounded Type

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Abstract

This chapter extends to delta-subharmonic functions the results of the previous chapter on the descriptive representations of some subclasses of harmonic functions with nonnegative harmonic majorants in a halfplane.

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References

  1. Jerbashian, A.M. Functions of α-Bounded Type in the Half-Plane. Advances in Complex Analysis and Applications. Springer, Berlin (2005)

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  2. Jerbashian A.M., Restrepo, J.E.: On some subclasses of delta-subharmonic functions with nonnegative harmonic majorants in the halfplane. J. Contem. Math. Anal. 51, 111–124 (2016)

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  3. Jerbashian, A.M., Restrepo, J.E.: On some classes of harmonic functions with nonnegative harmonic majorants in the halfplane. J. Contemp. Math. Anal. 51, 51–61 (2016)

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  4. Jerbashian, A.M., Restrepo, J.E.: A Boundary property of some subclasses of functions of bounded type in the halfplane. Fract. Cal. Appl. Anal. 20, 1531–1544 (2017)

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  5. Solomentsev, E.D.: On a classes of functions subharmonic in the half-space. Vestnik MGU, Ser. Mat. 5, 73–91 (1959)

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Jerbashian, A.M., Restrepo, J.E. (2024). Subclasses of Delta-subharmonic Functions of Bounded Type in the Halfplane. In: Functions of Omega-Bounded Type. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-49885-5_12

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