Author: Juhani Riihentaus

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

eBook: US $69 Special Offer (PDF + Printed Copy): US $117
Printed Copy: US $83
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)
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Quasinearly Subharmonic Functions

- Pp. 1-11 (11)
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Modifications of the mean value inequality for quasinearly subharmonic functions

- Pp. 12-29 (18)
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A mean value type inequality for quasinearly subharmonic functions

- Pp. 30-36 (7)
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Domination conditions for families of quasinearly subharmonic functions

- Pp. 37-41 (5)
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On the subharmonicity of separately subharmonic functions and generalizations

- Pp. 42-55 (14)
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Separately subharmonic and harmonic functions

- Pp. 56-67 (12)
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Weighted boundary behavior of quasinearly subharmonic functions

- Pp. 68-82 (15)
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Minkowski content and removable sets for subharmonic functions

- Pp. 83-91 (9)
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Hausdorff measure and extension results for subharmonic functions, for separately subharmonic functions, for harmonic functions and for separately harmonic functions

- Pp. 92-104 (13)
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Extension results for plurisubharmonic and for convex functions

- Pp. 105-111 (7)
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Extension results for holomorphic and for meromorphic functions

- Pp. 112-118 (7)
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Quasinearly subharmonic functions in locally uniformly homogeneous spaces

- Pp. 119-130 (12)
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Notation

- Pp. 131
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References

- Pp. 132-139 (8)
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Subject Index

- Pp. 140-142 (3)
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