Capacities and Hessians in the class of m-subharmonic functions

Azimbay Sadullaev, B. I. Abdullaev

Type: Article

Publication Date: 2013-02-01

Citations: 16

DOI: https://doi.org/10.1134/s1064562413010341

View Publication

Download PDF

Locations

Doklady Mathematics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Capacities and Hessians in a class of m-subharmonic functions	2012	Azimbay Sadullaev B. I. Abdullaev
+	Capacity and stability on some Cegrell classes of $$m-$$subharmonic functions	2022	Jawhar Hbil Mohamed Zaway
+ PDF Chat	Correction to: Capacity and stability on some Cegrell classes of m − subharmonic functions	2022	Jawhar Hbil Mohamed Zaway
+	Non standard properties of m-subharmonic functions	2018	Sławomir Dinew Sławomir Kołodziej
+	Some results on Complex $m-$subharmonic classes	2022	Jawher Hbil Mohamed Zaway
+	Weighted energy class of m-subharmonic functions	2025	Hoang Thieu Anh Nguyen Van Phu Nguyen Quang Dieu
+	Some results on the convergence of Hessian operator and $ m-$subharmonic functions	2022	Jawhar Hbil Mohamed Zaway
+	Convergence in $m$-capacity related to maximal subextension of $m$-subharmonic functions with given boundary values	2023	Nguyen Van Phu
+	Potential theory in the class of m-subharmonic functions	2012	Azimbay Sadullaev B. I. Abdullaev
+	The m-Hessian Operator on Some Weighted Energy Classes of Delta m-Subharmonic Functions	2020	Vũ Việt Hưng Hoang Nhat Quy
+	Local Property of a Class of m-Subharmonic Functions	2015	Vũ Việt Hưng
+	Uniqueness properties of m-subharmonic functions in Cegrell classes	2014	Nguyen Quang Dieu Pham Hien Bang Nguyen Xuan Hong
+ PDF Chat	A new capacity for plurisubharmonic functions	1982	Eric Bedford B. A. Taylor
+	Convex functions and subharmonic functions	1996	Juhani Riihentaus
+	On Some Weighted Classes of m-Subharmonic Functions	2024	Mohamed Zaway Jawhar Hbil
+	A note on the space of delta <i>m</i>-subharmonic functions	2020	Van Thien Nguyen Samsul Ariffin Abdul Karim Dinh Dat Truong
+	m-convex (m-cv) functions	2023	Руслан Шарипов M.B. Ismoilov
+	Subextension of m-Subharmonic Functions	2019	Le Mau Hai Trieu Van Dung
+	Criteria and constructions for subharmonic functions	1937	Tibor Radó
+	Criteria and constructions for subharmonic functions	1971	Tibor Radó

Works That Cite This (16)

Action	Title	Year	Authors
+ PDF Chat	Degenerate complex Hessian equations on compact Kahler manifolds	2015	Chinh H. Lu Dong Van Nguyen
+	Complex Hessian Operator and Lelong Number for Unbounded m-subharmonic Functions	2015	Dongrui Wan Wei Wang
+ PDF Chat	The classification of holomorphic (<i>m</i>, <i>n</i>)-subharmonic morphisms	2019	Per Åhag Rafał Czyż Lisa Hed
+ PDF Chat	On a Family of Quasimetric Spaces in Generalized Potential Theory	2022	Per Åhag Rafał Czyż
+	Maximal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e19" altimg="si5.gif"><mml:mi>m</mml:mi></mml:math>-subharmonic functions and the Cegrell class <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e24" altimg="si6.gif"><mml:msub><mml:mrow><mml:mi mathvariant="script">N</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:math>	2019	Van Thien Nguyen
+	Solutions to degenerate complex Hessian equations	2013	Chinh H. Lu
+	Decay near boundary of volume of sublevel sets of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e20" altimg="si5.svg"><mml:mi>m</mml:mi></mml:math>-subharmonic functions	2021	Quang Dieu Nguyen Thai Duong
+ PDF Chat	Kiselman minimum principle and rooftop envelopes in complex Hessian equations	2024	Per Åhag Rafał Czyż Chinh H. Lu Alexander Rashkovskii
+	Complex Hessian Operator and Generalized Lelong Numbers Associated to a Closed m-Positive Current	2017	Dongrui Wan
+	Definition of Hessians for $$m-$$Convex Functions as Borel Measures	2024	Azimbay Sadullaev

Works Cited by This (6)

Action	Title	Year	Authors
+ PDF Chat	On the Dirichlet problem for Hessian equations	1995	Neil S. Trudinger
+ PDF Chat	A new capacity for plurisubharmonic functions	1982	Eric Bedford B. A. Taylor
+ PDF Chat	On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on Cn	1978	Bengt Josefson
+	Hessian Measures II	1999	Neil S. Trudinger Xu‐Jia Wang
+ PDF Chat	ON THE DIRICHLET PROBLEMS FOR SYMMETRIC FUNCTION EQUATIONS OF THE EIGENVALUES OF THE COMPLEX HESSIAN	2004	Song-Ying Li
+ PDF Chat	Weak solutions to the complex Hessian equation	2005	Zbigniew Błocki