On basicity properties of the system of exponentials and trigonometric functions in weighted grand-lebesgue spaces

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Zeren Y., İsmailov M., Şirin F.

4th International Conference on Mathematical Advances and Applications, İstanbul, Turkey, 26 - 29 May 2021, vol.1, pp.94

  • Publication Type: Conference Paper / Summary Text
  • Volume: 1
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.94
  • Yıldız Technical University Affiliated: Yes

Abstract

In this work, we consider some systems of exponentials and trigonometric functions in weighted grand-Lebesgue spaces. Due to the non-separability of weighted grand-Lebesgue spaces with a general weight, we introduce the subspace G_p),\rho (0,1) \oplus C, 1<p<+\infty, generated by the shift operator of the weighted grand-Lebesgue space L_p),\rho (0,1) \oplus C with weight function satisfying the Muckenhoupt condition. The basis property of systems in G_p),\rho (0,1), 1<p<+\infty, are studied.