Sharp Real-Part Theorems A Unified Approach /

This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the an...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Maz'ya, Vladimir (Συγγραφέας), Kresin, Gershon (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
Σειρά:Lecture Notes in Mathematics, 1903
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02570nam a22004815i 4500
001 978-3-540-69574-5
003 DE-He213
005 20140524092931.0
007 cr nn 008mamaa
008 100301s2007 gw | s |||| 0|eng d
020 |a 9783540695745  |9 978-3-540-69574-5 
024 7 |a 10.1007/3-540-69573-7  |2 doi 
040 |d GrThAP 
050 4 |a QA331-355 
072 7 |a PBKD  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
082 0 4 |a 515.9  |2 23 
100 1 |a Maz'ya, Vladimir.  |e author. 
245 1 0 |a Sharp Real-Part Theorems  |h [electronic resource] :  |b A Unified Approach /  |c by Vladimir Maz'ya, Gershon Kresin. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2007. 
300 |a XV, 145 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1903 
505 0 |a Estimates for analytic functions bounded with respect to their real part -- Estimates for analytic functions with respect to the Lp-norm of R?f on the circle -- Estimates for analytic functions by the best Lp-approximation of Rf on the circle -- Estimates for directional derivatives of harmonic functions -- Estimates for derivatives of analytic functions -- Bohr's type real part estimates -- Estimates for the increment of derivatives of analytic functions. 
520 |a This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory. Rich opportunities are anticipated to extend these inequalities to analytic functions of several complex variables and solutions of partial differential equations. 
650 0 |a Mathematics. 
650 0 |a Functions of complex variables. 
650 0 |a Potential theory (Mathematics). 
650 1 4 |a Mathematics. 
650 2 4 |a Functions of a Complex Variable. 
650 2 4 |a Potential Theory. 
700 1 |a Kresin, Gershon.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783540695738 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1903 
856 4 0 |u http://dx.doi.org/10.1007/3-540-69573-7  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (Springer-11649)