Papers

 

Lu’s V. Pessoa, ORCID ID

 

Lu’s V. Pessoa, On the existence of polyanalytic functions, Math. Nachr. Vol. 289 (2016) 2273-2280

(DOI 10.1002/mana.201500320)

 

Lu’s V. Pessoa, A. Moura Santos, Polyharmonic Bergman Spaces and Bargmann Type Transforms,

J. Math. Anal. Appl. Vol. 449 (2017) 619-641

(DOI: 10.1016/j.jmaa.2016.12.034)

 

Lu’s V. Pessoa, On the structure of polyharmonic Bergman type spaces over the unit disk,

Complex Var. Elliptic Equations, Vol. 60:12, 1668-1684, 2015

(DOI: 10.1080/17476933.2015.1041111)

 

Lu’s V. Pessoa, The Hilbert-Schmidt Norm of the Hankel Operator on Poly-Bergman Spaces,

Integral Equations and Operator Theory, Vol. 82-2, 249-265, 2015

(DOI: 10.1007/s00020-015-2225-6)

 

Lu’s V. Pessoa, A. Moura Santos, Theorems of  Paley-Wiener type for spaces of polyanalytic functions,

Current Trends in Analysis and Its Applications, Proceedings of the 9th ISAAC Congress, Krak—w 2013, 605-613 Springer International Publishing, 2015

(DOI: 10.1007/978-3-319-12577-0_66)

 

Lu’s V. Pessoa, Planar Beurling transform and Bergman type spaces,

Complex Anal. Oper. Theory, Vol. 8-2, 359-381 (2014) Erratum-ibid. 9, 1245Ð1247 (2015).

(DOI: 10.1007/s11785-012-0268-0) (DOI: 10.1007/s11785-014-0413-z)

 

Lu’s V. Pessoa, The method of variation of the domain on poly-Bergman spaces,

Math. Nachr., Vol. 17-18, 1850-1862, 2013

(DOI: 10.1002/mana.201010057)

 

Lu’s V. Pessoa, Toeplitz operators and the essential boundary on polyanalytic functions,

Internat. J. of Math., Vol. 24-6, ID 1350042 - 23 pages, 2013

(DOI: 10.1142/S0129167X13500420)

 

Lu’s V. Pessoa, True poly-Bergman and poly-Bergman kernel functions for the complement of a closed disk,

Complex Anal. Oper. Theory, Vol. 7-5, 1569-1582, (2013)

(DOI: 10.1007/s11785-012-0272-4)

 

Lu’s V. Pessoa, Dzhuraev's formulas and poly-Bergman kernels on domains Mobius equivalent to a disk,

Complex Anal. Oper. Theory, Vol. 7-1, 193-220, 2013, Erratum-ibid 9, 1451-1452 (2015)

(DOI: 10.1007/s11785-010-0119-9) (DOI 10.1007/s11785-014-0414-y)

Yu. I. Karlovich, Lu’s V. Pessoa, C*-algebras of Bergman type operators with piecewise continuous coefficients on bounded domains,

More Progress in Analysis, Fifth ISAAC Congress, 25-30, World Scientific, Singapure, (2009)

(ISBN-10 981-283-562-8)

 

Yu. I. Karlovich, Lu’s V. Pessoa, Poly-Bergman projections and orthogonal decompositions of L2-spaces over bounded domains,

Operator Theory: Advances and Applications, Vol. 181, 263-282, (2008)

(DOI: 10.1007/978-3-7643-8684-9_12)

 

Yu. I. Karlovich, Lu’s V. Pessoa, C*-Algebras of Bergman type operators with piecewise continuous coefficients,

Integral Equations and Operator Theory, Vol. 57-4, 521-565, (2007)

(DOI: 10.1007/s00020-006-1473-x)

 

Yu. I. Karlovich, L. Pessoa, Algebras generated by Bergman and anti-Bergman projections and by multiplications by piecewise continuous coefficients,

Integral Equations and Operator Theory, Vol. 52-2, 219-270, (2005)

(DOI: 10.1007/s00020-004-1341-5)

 


 

Lu’s V. Pessoa  

Departamento de Matem‡tica  
Instituto Superior TŽcnico   
lpessoa@math.tecnico.ulisboa.pt  

lbpessoa@gmail.com