eISBN: 9789811498701, 2021 ISBN: 9789811498688
This book explains different types of subharmonic and harmonic functions. The book brings 12 chapters explaining general and specific types of subharmonic functions (eg. quasinearly subharmonic functions and other separate functions), related partial differential equations, mathematical proofs and extension results. The methods covered in the book also attempt to explain different mathematical analyses such as elliptical equations, domination conditions, weighted boundary behavior. The book serves as a reference work for scholars interested in potential theory and complex analysis.
*(Excluding Mailing and Handling)
Pp. 37-41 (5)
Department of Mathematical Sciences University of Oulu P.O. Box 3000 FI-90014 Oulun yliopisto, Finland
Using our version of a mean value type inequality for quasinearly subharmonic functions, presented in the previous section, we
give domination conditions for families of quasinearly subharmonic
functions. Our results improve previous results of Domar, Rippon and
ours, and thus also the original results of Sjöberg and Brelot.
Subharmonic, quasinearly subharmonic, family of quasinearly subharmonic functions, domination conditions