scholarly journals Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis

2012 ◽  
Vol 28 (11) ◽  
pp. 2289-2300 ◽  
Author(s):  
Ricardo Abreu-Blaya ◽  
Juan Bory-Reyes ◽  
Fred Brackx ◽  
Hennie De Schepper ◽  
Frank Sommen
Keyword(s):  
Hilbert Transform ◽  
Clifford Analysis ◽  
Norm Estimate ◽  
Hölder Norm ◽  
Hermitean Clifford Analysis

scholarly journals Hölder norm estimate for the fractal Hilbert transform in Douglis analysis

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Yudier Peña Pérez ◽  
Martín P Árciga Alejandre ◽  
Ricardo Abreu Blaya ◽  
Juan Bory Reyes
Keyword(s):  
Hilbert Transform ◽  
Norm Estimate ◽  
Hölder Norm

scholarly journals Generalized multidimensional Hilbert transforms in Clifford analysis

2006 ◽  
Vol 2006 ◽  
pp. 1-19 ◽  
Author(s):  
Fred Brackx ◽  
Bram De Knock ◽  
Hennie De Schepper
Keyword(s):  
Sobolev Spaces ◽  
Hilbert Transform ◽  
Clifford Analysis ◽  
Hilbert Transforms ◽  
Singular Operators ◽  
The Hilbert Transform

Two specific generalizations of the multidimensional Hilbert transform in Clifford analysis are constructed. It is shown that though in each of these generalizations some traditional properties of the Hilbert transform are inevitably lost, new bounded singular operators emerge on Hilbert or Sobolev spaces ofL2-functions.

Fundaments of Hermitean Clifford Analysis Part I: Complex Structure

2007 ◽  
Vol 1 (3) ◽  
pp. 341-365 ◽  
Author(s):  
Fred Brackx ◽  
Jarolím Bureš ◽  
Hennie De Schepper ◽  
David Eelbode ◽  
Frank Sommen ◽  
...  
Keyword(s):  
Clifford Analysis ◽  
Complex Structure ◽  
Hermitean Clifford Analysis

scholarly journals Gel’fand-Tsetlin Procedure for the Construction of Orthogonal Bases in Hermitean Clifford Analysis

2010 ◽  
Author(s):  
Fred Brackx ◽  
Hennie De Schepper ◽  
Roman Lávička ◽  
Vladimír Souček ◽  
Theodore E. Simos ◽  
...  
Keyword(s):  
Clifford Analysis ◽  
Orthogonal Bases ◽  
Hermitean Clifford Analysis

Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations

2007 ◽  
Vol 52 (10-11) ◽  
pp. 1063-1079 ◽  
Author(s):  
F. Brackx ◽  
J. Bureš ◽  
H. De Schepper ◽  
D. Eelbode ◽  
F. Sommen ◽  
...  
Keyword(s):  
Clifford Analysis ◽  
Hermitean Clifford Analysis
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