49 citations · 64 across the 8 of their papers we have counts for
10 papers
A Borel-Pompeiu formula in a -model of quaternionic analysis
José Oscar González-Cervantes, Juan Bory-Reyes, Irene Sabadini
The study of hyperholomorphic functions defined on domains in with values in , namely null-solutions of the Fueter operator, is a topic which captu…
Fractional slice regular functions of a quaternionic variable
José Oscar González-Cervantes, Juan Bory-Reyes, Irene Sabadini
The theory of slice regular functions of a quaternionic variable on the unit ball of the quaternions was introduced by Gentili and Struppa in 2006 and nowadays it is a well establi…
A fractional Borel-Pompeiu type formula and a related fractional Fueter operator with respect to a vector-valued function
José Oscar González-Cervantes, Juan Bory-Reyes
In this paper we combine the fractional hyperholomorphic function theory with the fractional calculus with respect to another function. As a main result, a fractional Borel-Pom…
Some characterizations of slice regular Lipschitz type spaces
José Oscar González-Cervantes, Daniel González-Campos, Juan Bory-Reyes
We give some characterizations of Lipschitz type spaces of slice regular functions in the unit ball of the skew field of quaternions with prescribed modulus of continuity.
BMO- and VMO-spaces of slice hyperholomorphic functions
Jonathan Gantner, J. Oscar González-Cervantes, Tim Janssens
In this paper we continue the study of important Banach spaces of slice hyperholomorphic functions on the quaternionic unit ball by investigating the BMO- and VMO-spaces of slice h…
On Some Geometric Properties of Slice Regular Functions of a Quaternion Variable
Sorin G. Gal, J. Oscar González-Cervantes, Irene Sabadini
The goal of this paper is to introduce and study some geometric properties of slice regular functions of quaternion variable like univalence, subordination, starlikeness, convexity…
How much dark matter is there inside early-type galaxies?
A. Nigoche-Netro, A. Ruelas-Mayorga, P. Lagos +5
We study the luminous mass as a function of the dynamical mass inside the effective radius (r_e) of early-type galaxies (ETGs) to search for differences between these masses. We as…
The C-property for slice regular functions and applications to the Bergman space
Fabrizio Colombo, J. Oscar Gonzales-Cervantes
This paper has a twofold purpose: on one hand we deepen the study of slice regular functions by studying their behavior with respect to the so-called C-property and anti-C-property…
Further properties of the Bergman spaces of slice regular functions
Fabrizio Colombo, J. Oscar Gonzalez-Cervantes, Irene Sabadini
In this paper we continue the study of Bergman theory for the class of slice regular functions. In the slice regular setting there are two possibilities to introduce the Bergman sp…
Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions
C. M. P. Castillo Villalba, F. Colombo, J. Gantner +1
In this paper we begin the study of some important Banach spaces of slice hyperholomorphic functions, namely the Bloch, Besov and weighted Bergman spaces, and we also consider the…