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Harmonic Function Theory
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Springer-Verlag GmbH Germany, part of Springer Nature
- Subject
- Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
- ISSN
- 1617-9447
- eISSN
- 2195-3724
- DOI
- 10.1007/s40315-017-0226-y
- Publisher site
- See Article on Publisher Site
Abstract
We prove some isoperimetric type inequalities for real harmonic functions in the unit disk belonging to the Hardy space $$h^p$$ h p , $$p>1$$ p > 1 , and for complex harmonic functions in $$h^4$$ h 4 . The results extend some recent results in the area. Further, we discuss some Riesz type results for holomorphic functions.
Journal
Computational Methods and Function Theory – Springer Journals
Published: Dec 4, 2017