A weak-type inequality of subharmonic functions
نویسندگان
چکیده
منابع مشابه
A Generalized Mean Value Inequality for Subharmonic Functions and Applications
If u ≥ 0 is subharmonic on a domain Ω in Rn and p > 0, then it is well-known that there is a constant C(n, p) ≥ 1 such that u(x)p ≤C(n, p)M V (up,B(x,r)) for each ball B(x,r) ⊂ Ω. We recently showed that a similar result holds more generally for functions of the form ψ◦ u where ψ : R+ → R+ may be any surjective, concave function whose inverse ψ−1 satisfies the ∆2-condition. Now we point out tha...
متن کاملa cauchy-schwarz type inequality for fuzzy integrals
نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
15 صفحه اولOn the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions
In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.
متن کاملSeparately subharmonic functions and quasi-nearly subharmonic functions
First, we give the definition for quasi-nearly subharmonic functions. Second, after recalling the existing subharmonicity results of separately subharmonic functions, we give corresponding counterparts for separately quasi-nearly subharmonic functions, thus generalizing previous results of Armitage and Gardiner, of ours, of Arsove, of Avanissian, and of Lelong.
متن کاملMultiplication of Subharmonic Functions
We study subharmonic functions in the unit ball of R , with either a Bloch–type growth or a growth described through integral conditions involving some involutions of the ball. Considering mappings u 7→ gu between sets of functions with a prescribed growth, we study how the choice of these sets is related to the growth of the function g.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1998
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-98-04157-4