Norm estimate for the inverse of a linear pencil with Hilbert–Schmidt operators

2014 ◽  
Vol 94 (2) ◽  
pp. 409-418
Author(s):  
Michael Gil’
Keyword(s):  
2016 ◽  
Vol 68 (1) ◽  
pp. 67-87
Author(s):  
Hirotaka Ishida

AbstractLet S be a surface of general type. In this article, when there exists a relatively minimal hyperelliptic fibration whose slope is less than or equal to four, we give a lower bound on the Euler–Poincaré characteristic of S. Furthermore, we prove that our bound is the best possible by giving required hyperelliptic fibrations.


NeuroImage ◽  
2001 ◽  
Vol 13 (6) ◽  
pp. 177
Author(s):  
Soile Komssi ◽  
Juha Huttunen ◽  
Vadim V. Nikouline ◽  
Hannu J. Aronen ◽  
Risto J. Ilmoniemi

Author(s):  
Young Jae Sim ◽  
Oh Sang Kwon

LetDdenote the open unit disk and letSdenote the class of normalized univalent functions which are analytic inD. LetCo(α)be the class of concave functionsf∈S, which have the condition that the opening angle off(D)at infinity is less than or equal toπα,α∈(1,2]. In this paper, we find a sufficient condition for the Gaussian hypergeometric functions to be in the classCo(α). And we define a classCo(α,A,B),(-1≤B<A≤1), which is a subclass ofCo(α)and we find the set of variabilities for the functional(1-|z|2)(f″(z)/f′(z))forf∈Co(α,A,B). This gives sharp upper and lower estimates for the pre-Schwarzian norm of functions inCo(α,A,B). We also give a characterization for functions inCo(α,A,B)in terms of Hadamard product.


2010 ◽  
Vol 62 (3) ◽  
pp. 357-374 ◽  
Author(s):  
Boo Rim Choe ◽  
Hyungwoon Koo ◽  
Kyesook Nam

2016 ◽  
Vol 35 (10) ◽  
pp. 2218-2228 ◽  
Author(s):  
Daniel Strohmeier ◽  
Yousra Bekhti ◽  
Jens Haueisen ◽  
Alexandre Gramfort

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