Author: Juhani Riihentaus

Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties

eBook: US $69 Special Offer (PDF + Printed Copy): US $126
Printed Copy: US $91
Library License: US $276
ISBN: 978-981-14-9868-8 (Print)
ISBN: 978-981-14-9870-1 (Online)
Year of Publication: 2021
DOI: 10.2174/97898114987011210101

Introduction

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.

Preface

- Pp. i-ii (2)
Juhani Riihentaus
Download Free

Quasinearly Subharmonic Functions

- Pp. 1-11 (11)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Modifications of the mean value inequality for quasinearly subharmonic functions

- Pp. 12-29 (18)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

A mean value type inequality for quasinearly subharmonic functions

- Pp. 30-36 (7)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Domination conditions for families of quasinearly subharmonic functions

- Pp. 37-41 (5)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

On the subharmonicity of separately subharmonic functions and generalizations

- Pp. 42-55 (14)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Separately subharmonic and harmonic functions

- Pp. 56-67 (12)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Weighted boundary behavior of quasinearly subharmonic functions

- Pp. 68-82 (15)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Minkowski content and removable sets for subharmonic functions

- Pp. 83-91 (9)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Hausdorff measure and extension results for subharmonic functions, for separately subharmonic functions, for harmonic functions and for separately harmonic functions

- Pp. 92-104 (13)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Extension results for plurisubharmonic and for convex functions

- Pp. 105-111 (7)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Extension results for holomorphic and for meromorphic functions

- Pp. 112-118 (7)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Quasinearly subharmonic functions in locally uniformly homogeneous spaces

- Pp. 119-130 (12)
Juhani Riihentaus

PDF Price: $15

View Abstract Purchase Chapter

Notation

- Pp. 131
Juhani Riihentaus
Download Free

References

- Pp. 132-139 (8)
Juhani Riihentaus
Download Free

Subject Index

- Pp. 140-142 (3)
Juhani Riihentaus
Download Free

RELATED BOOKS

.Ordinary Differential Equations and Applications II: with Maple Illustrations.
.Fundamentals of Mathematics in Medical Research: Theory and Cases.
.Advanced Mathematical Applications in Data Science.
.Markov Chain Process (Theory and Cases).