A maximum principle with applications to subharmonic functions in n-space
Ronald Gariepy,John L. Lewis +1 more
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This article is published in Arkiv för Matematik.The article was published on 1974-12-01 and is currently open access. It has received 8 citations till now. The article focuses on the topics: Subharmonic function & Maximum principle.read more
Citations
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Journal ArticleDOI
Space analogues of some theorems for subharmonic and meromorphic functions
Ronald Gariepy,John L. Lewis +1 more
Book ChapterDOI
Some topics in symmetrization
TL;DR: In this article, the surface area measure on Sn-l is defined in the spherical shell A(R 1, R 2 ) = (x ffin:R1 < Ixl < R2) its spherical symmetrization o = uo(r,O) is defined by symmetrizing on each sphere Ix l = r, R1 < r < R 2"
Journal ArticleDOI
Symmetrization and currents
TL;DR: Recently, the concept of Schwarz symmetrization for Borel functions gained new interest from its possible applications in the field of elliptic partial differential equations (see [S1, S2, HI, T1, T2, HY1, HY2, GL1, GL2]).
Journal ArticleDOI
General páley problem
TL;DR: In this article, an exact upper bound for finite lower-order subharmonic functions of finite lower order subharmonics in ℝ p+2,p ∈ ℕ was established for the class of functions where T(r, u) is a Nevanlinna characteristic of the function.
References
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Book
Geometric Measure Theory
TL;DR: In this article, Grassmann algebras of a vectorspace have been studied in the context of the calculus of variations, and a glossary of some standard notations has been provided.
Journal ArticleDOI
Symmetrization of rings in space
TL;DR: In this article, the Grötzsch and Teichmüller rings are used to estimate mod R' either by means of the space analogues of the GR and TEICHMÞ rings or by using spherical annuli.
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Spherical rearrangements, subharmonic functions, and ∗-functions in n-space
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Identities for the dirichlet integral of subharmonic functions from the cartright class
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