arXiv Open Access 2015

An inequality type condition for quasinearly subharmonic functions and applications

Juhani Riihentaus

Lihat Sumber

Abstrak

Generalizing older works of Domar and Armitage and Gardiner, we give an inequality for quasinearly subharmonic functions. As an application of this inequality, we improve Domar's, Rippon's and our previous results concerning the existence of the largest subharmonic minorant of a given function. Moreover, and as an another application, we give a sufficient condition for a separately quasinearly subharmonic function to be quasinearly subharmonic. Our result contains the previous results of Lelong, of Avanissian, of Arsove, of Armitage and Gardiner, and of ours.

Topik & Kata Kunci

math.AP

Penulis (1)

Juhani Riihentaus

Format Sitasi

APA MLA BibTeX

Riihentaus, J. (2015). An inequality type condition for quasinearly subharmonic functions and applications. https://arxiv.org/abs/1509.05829

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓