The dyadic integral means spectrum for Bloch functions

2008 ◽  
Vol 40 (2) ◽  
pp. 319-326
Author(s):  
Nacho Monreal Galán
Keyword(s):  
Integral Means ◽  
Bloch Functions ◽  
Dyadic Integral

Integral means of weighted Hardy–Bloch functions

2014 ◽  
Vol 104 (1) ◽  
pp. 69-76
Author(s):  
Evgueni Doubtsov
Keyword(s):  
Integral Means ◽  
Bloch Functions

scholarly journals A note on the radial growth of Bloch functions

1992 ◽  
Vol 45 (1) ◽  
pp. 143-149
Author(s):  
Daniel Girela
Keyword(s):  
Radial Growth ◽  
Law Of Iterated Logarithm ◽  
Integral Means ◽  
Bloch Functions ◽  
Normal Functions ◽  
Iterated Logarithm ◽  
Starting Point ◽  
Littlewood Theorem

The radial growth of Bloch functions has been extensively studied. Using integral means estimates and the Hardy Littlewood theorem, Makarov proved the so called law of iterated logarithm for Bloch functions. This result has also been obtained using probabilistic arguments. In this paper we present another method of studying the radial growth of Bloch functions, having the integral means estimates as starting point and using certain results about normal functions.

Some properties for certain subclasses of analytic functions defined by a general differential operator

2019 ◽  
Vol 13 (07) ◽  
pp. 2050134
Author(s):  
Erhan Deniz ◽  
Murat Çağlar ◽  
Yücel Özkan
Keyword(s):  
Differential Operator ◽  
Analytic Functions ◽  
Partial Sums ◽  
Integral Means

In this paper, we study two new subclasses [Formula: see text] and [Formula: see text] of analytic functions which are defined by means of a differential operator. Some results connected to partial sums and neighborhoods and integral means related to these subclasses are obtained.

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