Weighted Bergman spaces and the Bergman projection

Authors

  • Luis Javier Carmona Lomeli Universidad Autonoma Metropolitana, Unidad Iztapalapa, Mexico
  • Lino Feliciano Resendis Ocampo Universidad Autonoma Metropolitana, Unidad Azcapotzalco, Mexico

Keywords:

Bloch space, Bergman projection, sApq weighted space

Abstract

Weighted Bergman spaces and the Bergman projection

References

R. Aulaskari, and P. Lappan Criteria for an analytic function to be Bloch and a harmonic or meromorphic function to be normal Complex Analysis and its Applications, Pitman Research Notes in Mathematics 305, Longman Scientific and Technical, Harlow (1994), 136–146.

R. Aulaskari, J. Xiao, and R. Zhao On subspaces and subsets of BMOA and UBC, Analysis 15 (1995), 101–102.

L. L. J. Carmona, L. F. R. Ocampo, L. M. T. Sanchez (2014) Weighted Bergman Spaces. In: S. Bernstein, U. Kahler, I. Sabadini, F. Sommen (eds) Hypercomplex Analysis: New Perspectives and Applications. Trends in Mathematics. Birkhuser, 89–110.

H. Hedenmalm, B. Korenblum, and K. Zhu, Theory of Bergman Spaces, Springer, New York, 2000.

M. Ortega and J. Fabrega, Pointwise Multipliers and Corona type Theorem, Ann. Inst. Fourier, Grenoble, Tomo 46, No. 1 (1996). 111–137.

J. M. Ortega and J. Fabrega, Corona Type Decomposition in some Besov spaces, Math. Scand. 78 (1996), 93–111.

J. Perez Hernandez, L. F. Resendis Ocampo, and L. M. Tovar Sanchez Some hyperbolic classes of analytic functions in the unit disk, Bol. Soc. Mat. Mex. (2015) 21:171. doi:10.1007/s40590-015-0062-x

R. Zhao, On a general family of function spaces. Ann. Acad. Sci. Fenn. Math. Diss. 105 (1996a).

Downloads

Published

2020-10-01

Issue

Section

Articles