• Gafar Mohamed Osman Ali
• Osman Abdalla Adam Osman
• Abdelrahman Mahmoud Mohamed Mahmoud
• Mortada Gawhar Abdelaziz Gawhar
• Manofali Mousa Ali Ahmed

The Herglotz space wave functions in R^2 wher is consist of all the solutions to the Helmholtz equation of Fourier's transform in R^2 analysis of the scale of support in a circle with a density L^2 (S^1 ). This space has the construction of a Hilbert space while reproducing the kernel. In this article we study the Toeplitz operators with some nonnegative and limited radial symbols, which are compact Toeplitz operator of compressed and his belonging to Schatten classes s_(1+ε).

Toepliz operator, Fourier's transform, Bergmann spaces, kernel, Herglotz wave function, Helmholtz, Hilbert space, Carleson symbol, Berezin transform.

"Topical operators on the Herglotz waves functions ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.7, Issue 8, page no.320-329, August-2020, Available :http://www.jetir.org/papers/JETIR2008345.pdf

"Topical operators on the Herglotz waves functions ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.7, Issue 8, page no. pp320-329, August-2020, Available at : http://www.jetir.org/papers/JETIR2008345.pdf