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Journal articles on the topic 'Delta-subharmonic functions'

Author: Grafiati
Published: 28 May 2022
Last updated: 31 July 2025

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1

Watson, Neil A. "Mean values and associated measures of $\delta $-subharmonic functions." Mathematica Bohemica 127, no. 1 (2002): 83–102. http://dx.doi.org/10.21136/mb.2002.133981.

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2

Zabolotskyi, M. V. "Asymptotics of $\delta$-subharmonic functions of finite order." Matematychni Studii 54, no. 2 (2020): 188–92. http://dx.doi.org/10.30970/ms.54.2.188-192.

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For $\delta$-subharmonic in $\mathbb{R}^m$, $m\geq2$, function $u=u_1-u_2$ of finite positiveorder we found the asymptotical representation of the form\[u(x)=-I(x,u_1)+I(x,u_2) +O\left(V(|x|)\right),\ x\to\infty,\]where $I(x,u_i)=\int\limits_{|a-x|\leq|x|}K(x,a)d\mu_i(a)$, $K(x,a)=\ln\frac{|x|}{|x-a|}$ for $m=2$,$K(x,a)=|x-a|^{2-m}-|x|^{2-m}$ for $m\geq3,$$\mu_i$ is a Riesz measure of the subharmonic function $u_i,$ $V(r)=r^{\rho(r)},$ $\rho(r)$ is a proximate order of $u$.The obtained result generalizes one theorem of I.F. Krasichkov for entire functions.
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3

Hawari, H., and M. Zaway. "On the space of delta m-subharmonic functions." Analysis Mathematica 42, no. 4 (2016): 353–69. http://dx.doi.org/10.1007/s10476-016-0404-6.

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4

Sodin, Mikhail. "Hahn decomposition for the Riesz charge of $\delta$-subharmonic functions." MATHEMATICA SCANDINAVICA 83, no. 2 (1998): 277. http://dx.doi.org/10.7146/math.scand.a-13856.

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5

Eiderman, V. Ya. "Estimates for potentials and $ \delta$-subharmonic functions outside exceptional sets." Izvestiya: Mathematics 61, no. 6 (1997): 1293–329. http://dx.doi.org/10.1070/im1997v061n06abeh000166.

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6

Khoroshchak, Vasylyna. "Stable $$\delta -$$ δ - Subharmonic Functions on the Nonlinear Homogeneous Spaces". Complex Analysis and Operator Theory 11, № 7 (2017): 1587–95. http://dx.doi.org/10.1007/s11785-017-0639-7.

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7

Thien Nguyen, Van, Samsul Ariffin Abdul Karim, and Dinh Dat Truong. "A note on the space of delta m-subharmonic functions." AIMS Mathematics 5, no. 3 (2020): 2369–75. http://dx.doi.org/10.3934/math.2020156.

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8

Malyutin, Konstantin G., and Viktor V. Goryainov. "Delta-subharmonic functions of completely regular gamma-growth in a half-plane." Journal of Mathematical Sciences 183, no. 6 (2012): 796–809. http://dx.doi.org/10.1007/s10958-012-0841-0.

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9

Restrepo, J. E. "On Some Subclasses of Delta-Subharmonic Functions of Bounded Type in the Disc." Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) 53, no. 6 (2018): 346–54. http://dx.doi.org/10.3103/s1068362318060055.

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10

Malyutin, K. G. "Fourier series and $ \delta$-subharmonic functions of finite $ \gamma$-type in a half-plane." Sbornik: Mathematics 192, no. 6 (2001): 843–61. http://dx.doi.org/10.1070/sm2001v192n06abeh000572.

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11

Jerbashian, A. M., and J. E. Restrepo. "On some subclasses of delta-subharmonic functions with nonnegative harmonic majorants in the half-plane." Journal of Contemporary Mathematical Analysis 51, no. 3 (2016): 134–47. http://dx.doi.org/10.3103/s1068362316030043.

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12

Atsuji, Atsushi. "Parabolicity, the divergence theorem for $\delta$-subharmonic functions and applications to the Liouville theorems for harmonic maps." Tohoku Mathematical Journal 57, no. 3 (2005): 353–73. http://dx.doi.org/10.2748/tmj/1128703002.

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13

Malyutin, K., and M. Kabanko. "The Spaces of Delta-subharmonic Functions of Finite Order with Respect to the Model Function of Growth." Lobachevskii Journal of Mathematics 45, no. 1 (2024): 462–71. http://dx.doi.org/10.1134/s1995080224010372.

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14

Nguyen, Van Thien. "On delta $m$-subharmonic functions." Annales Polonici Mathematici, 2016, 1–25. http://dx.doi.org/10.4064/ap3959-9-2916.

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15

Malyutin, K. G. "Inverse formulae for Fourier coefficients of delta-subharmonic functions in a half-plane." Matematychni Studii 32, no. 2 (2009). https://doi.org/10.30970/ms.32.2.210-215.

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16

Malyutin, K. G., and T. I. Malyutina. "Fourier series and delta-subharmonic functions of zero-type in a half-plane." Matematychni Studii 30, no. 2 (2008). https://doi.org/10.30970/ms.30.2.132-138.

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17

Hung, V. V., and H. N. Quy. "The m-Hessian Operator on Some Weighted Energy Classes of Delta m-Subharmonic Functions." Results in Mathematics 75, no. 3 (2020). http://dx.doi.org/10.1007/s00025-020-01242-z.

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18

Khabibullin, B. "Nevanlinna characteristic and integral inequalities with maximal radial characteristic for meromorphic functions and for differences of subharmonic functions." St. Petersburg Mathematical Journal, March 22, 2023. http://dx.doi.org/10.1090/spmj/1753.

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Let f f be a meromorphic function on the complex plane with Nevanlinna characteristic T ( r , f ) T(r,f) and maximal radial characteristic ln ⁡ M ( t , f ) \ln M(t,f) , where M ( t , f ) M(t,f) is the maximum of the modulus | f | |f| on circles centered at zero and of radius t t . A number of well-known and widely used results make it possible to estimate from above the integrals of ln ⁡ M ( t , f ) \ln M (t,f) over subsets E E on segments [ 0 , r ] [0,r] in terms of T ( r , f ) T(r,f) and the linear Lebesgue measure of E E . In the paper, such estimates are obtained for the Lebesgue–Stieltjes
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19

Khoroshchak, V., and A. Kondratyuk. "The Riesz measures and a representation of multiplicatively periodic delta-subharmonic functions in a punctured Euclidean space." Matematychni Studii 43, no. 1 (2014). http://dx.doi.org/10.15330/ms.43.1.61-65.

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