hadamard gaps
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𝒩(p, q, s)-type spaces in the unit ball of 𝑪n(I): basic properties and Hadamard gaps

2019 ◽  
Vol 65 (6) ◽  
pp. 956-976 ◽  
Author(s):  
Bingyang Hu ◽  
Songxiao Li
Keyword(s):  
Unit Ball ◽  
Basic Properties ◽  
Hadamard Gaps ◽  
Type Spaces

scholarly journals The Defects of Power Series in the Unit Disk with Hadamard Gaps

2017 ◽  
Vol 40 (1) ◽  
pp. 203-222
Author(s):  
Narufumi TSUBOI
Keyword(s):  
Power Series ◽  
Unit Disk ◽  
Hadamard Gaps

scholarly journals Hadamard Gaps and <i>N</i><sub>k</sub>-type Spaces in the Unit Ball

2017 ◽  
Vol 07 (04) ◽  
pp. 306-313
Author(s):  
M. A. Bakhit ◽  
A. E. Shammaky
Keyword(s):  
Unit Ball ◽  
Hadamard Gaps ◽  
Type Spaces

𝒩p-type functions with Hadamard gaps in the unit ball

2016 ◽  
Vol 61 (6) ◽  
pp. 843-853 ◽  
Author(s):  
Bingyang Hu ◽  
Songxiao Li
Keyword(s):  
Unit Ball ◽  
Hadamard Gaps

A Weighted Class of Meromorphic Functions with Hadamard Gaps

2016 ◽  
Vol 13 (3) ◽  
pp. 1546-1552
Author(s):  
A. El-Sayed Ahmed ◽  
Mashael Al Bogami
Keyword(s):  
Meromorphic Functions ◽  
Hadamard Gaps

scholarly journals Bloch--Orlicz functions with Hadamard gaps

2015 ◽  
Vol 6 (4) ◽  
pp. 77-89
Author(s):  
Congli Yang ◽  
Pengcheng Wu ◽  
Fangwei Chen
Keyword(s):  
Orlicz Functions ◽  
Hadamard Gaps

scholarly journals CHARACTERIZATIONS FOR CERTAIN ANALYTIC FUNCTIONS BY SERIES EXPANSIONS WITH HADAMARD GAPS

Cubo (Temuco) ◽  
2014 ◽  
Vol 16 (1) ◽  
pp. 81-94
Author(s):  
Ahmed A. El-Sayed ◽  
A Kamal ◽  
T.I Yassen
Keyword(s):  
Analytic Functions ◽  
Series Expansions ◽  
Hadamard Gaps

Weighted-Hardy functions with Hadamard gaps on the unit ball

2009 ◽  
Vol 212 (1) ◽  
pp. 229-233 ◽  
Author(s):  
Songxiao Li ◽  
Stevo Stević
Keyword(s):  
Unit Ball ◽  
Hadamard Gaps

scholarly journals Bloch-type functions with Hadamard gaps

2009 ◽  
Vol 208 (2) ◽  
pp. 416-422 ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Hadamard Gaps

scholarly journals On Bloch-Type Functions with Hadamard Gaps

2007 ◽  
Vol 2007 ◽  
pp. 1-8 ◽  
Author(s):  
Stevo Stevic
Keyword(s):  
Analytic Function ◽  
Unit Ball ◽  
Analytic Functions ◽  
Homogeneous Polynomial ◽  
Necessary Conditions ◽  
Mixed Norm ◽  
Mixed Norm Space ◽  
Norm Space ◽  
Hadamard Gaps ◽  
Sufficient And Necessary Conditions

We give some sufficient and necessary conditions for an analytic functionfon the unit ballBwith Hadamard gaps, that is, forf(z)=∑k=1∞Pnk(z)(the homogeneous polynomial expansion off) satisfyingnk+1/nk≥λ>1for allk∈ℕ, to belong to the spaceℬpα(B)={f|sup0<r<1(1−r2)α\|ℛfr\|p<∞,f∈H(B)},p=1,2,∞as well as to the corresponding little space. A remark on analytic functions with Hadamard gaps on mixed norm space on the unit disk is also given.

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