Access the full text.
Sign up today, get DeepDyve free for 14 days.
P. Barry (1962)
The Minimum Modulus of Small Integral and Subharmonic FunctionsProceedings of The London Mathematical Society
I Chyzhykov, S Skaskiv (2013)
Growth, zero distribution and factorization of analytic functions of moderate growth in the unit disc, Blaschke products and their applicationsFields Inst. Comm., 65
C. Linden (1989)
Integral logarithmic means for regular functionsPacific Journal of Mathematics, 138
I. Chyzhykov, I. Sheparovych (2014)
Interpolation of analytic functions of moderate growth in the unit disc and zeros of solutions of a linear differential equationarXiv: Complex Variables
O. Juneja, G. Kapoor (1985)
Analytic functions--growth aspects
C. Linden (1964)
The Representation of Regular FunctionsJournal of The London Mathematical Society-second Series
Subharmonicfunctions,Vol.2.
P. Duren (1970)
Theory of H[p] spaces
P. Fenton, Barry conjec (1982)
The minimum modulus of certain small entire functionsTransactions of the American Mathematical Society, 271
P. Fenton (1981)
The minimum of small entire functions, 81
OP Juneja, GP Kapoor (1985)
Analytic Functions - Growth Aspects, Research Notes in Mathematics 104
PD Barry (1963)
On a theorem of BesicovitchQ. J. Math., 14
I. Chyzhykov (2013)
On minimum modulus of bounded analytic functions, 4
C. Linden (1992)
The characterization of orders for regular functionsMathematical Proceedings of the Cambridge Philosophical Society, 111
(1970)
Theminimummodulusoffunctionofslowgrowthintheunitdisk,Math.Essaysdedicated toA
I. Chyzhykov (2002)
An addition to the cospirho-theorem for subharmonic and entire functions of zero lower order, 130
P. Fenton (1980)
The infimum of small subharmonic functions, 78
W. Hayman (2014)
The growth of bounded and related functionsBulletin of the London Mathematical Society, 46
W. Hayman (1952)
The Minimum Modulus of Large Integral FunctionsProceedings of The London Mathematical Society
M. Heins (1947)
The minimum modulus of a bounded analytic functionDuke Mathematical Journal, 14
A. Fryntov (1994)
A counterexample concerning the maximum and minimum of a subharmonic function, 122
I. Chyzhykov, J. Heittokangas, J. Rättyä (2010)
SHARP LOGARITHMIC DERIVATIVE ESTIMATES WITH APPLICATIONS TO ORDINARY DIFFERENTIAL EQUATIONS IN THE UNIT DISCJournal of the Australian Mathematical Society, 88
C. Berg, Henrik Pedersen (2007)
LOGARITHMIC ORDER AND TYPE OF INDETERMINATE MOMENT PROBLEMS
I. Chyzhykov (2012)
Zero distribution and factorization of analytic functions of slow growth in the unit disc, 141
K. Pennycuick (1935)
On a Theorem of BesicovitchJournal of The London Mathematical Society-second Series
I. Chyzhykov, S. Skaskiv (2012)
Growth, Zero Distribution and Factorization of Analytic Functions of Moderate Growth in the Unit DiscarXiv: Complex Variables
P Duren (1970)
Theory of $$H^p$$ H p spaces
C. Linden (1956)
THE MINIMUM MODULUS OF FUNCTIONS REGULAR AND OF FINITE ORDER IN THE UNIT CIRCLEQuarterly Journal of Mathematics, 7
I Chyzhykov (2002)
An addition to the $$\cos \pi \rho -$$ cos π ρ - theorem for subharmonic and entire functions of zero lower orderProc. Am. Math. Soc., 130
We study the behavior of the minimum modulus of analytic functions in the unit disc in terms of $$\rho _\infty $$ ρ ∞ -order, which is the limit of the orders of $$L_p$$ L p -norms of $$\log |f(re^{i\theta })|$$ log | f ( r e i θ ) | over the circle as $$p\rightarrow \infty $$ p → ∞ . This concept coincides with the usual order of the maximum modulus function if the order is greater than one. New results are obtained for analytic functions of order smaller than 1.
Computational Methods and Function Theory – Springer Journals
Published: May 15, 2015
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.