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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 4

Basicity of a system of exponents with a piecewise linear phase in Morrey-type spaces

Bilal BILALOV
Fidan SEYIDOVA
Sayfa
1850–1866
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The sufficient conditions for these parameters are found, under which the considered system of exponentsis complete, minimal, or it forms a basis for a Morrey-type space.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper a perturbed system of exponents with a piecewise linear phase depending on two real parametersis considered.
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Temel Bulgular & Veri:In this paper a perturbed system of exponents with a piecewise linear phase depending on two real parametersis considered.
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Sonuç & Katkı:The sufficient conditions for these parameters are found, under which the considered system of exponentsis complete, minimal, or it forms a basis for a Morrey-type space.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper a perturbed system of exponents with a piecewise linear phase depending on two real parametersis considered. The sufficient conditions for these parameters are found, under which the considered system of exponentsis complete, minimal, or it forms a basis for a Morrey-type space.

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Bu Makaleye Atıf Yap

BILALOV, B., SEYIDOVA, F. (2022). Basicity of a system of exponents with a piecewise linear phase in Morrey-type spaces. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1850–1866. https://ajindex.com/articles/608029

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Kaynakça (18)

  1. Adams DR. Morrey Spaces. Switzerland: Springer, 2016
  2. Bilalov BT. Basicity of some exponential, cosine and sine systems. Differentsialnye Uravneniya 1990; 26(1): 10-16 (in Russian)
  3. Bilalov BT. Basis properties of some exponential, cosine and sine systems. Sibirskiy Matematicheskiy Zhurnal 2004; 45(2): 264-273 (in Russian)
  4. Bilalov BT. Bases from exponents, cosines and sines which are the eigenvalues of differential operators. Differentsialnye Uravneniya 2003; 39(5): 1-5 (in Russian)
  5. Bilalov BT. On basicity of some exponential, cosine and sine systems for Lp. Dokladi RAN 2001; 379(2): 7-9 (in Russian)
  6. Bilalov BT. On basicity of exponential, cosine and sine systems for Lp. Dokladi RAN 1999; 365(1): 7-8 (in Russian)
  7. Bilalov BT. Basicity properties of power systems in Lp. Sibirskiy Matematicheskiy Zhurnal 2006; 47(1): 25-36 (in Russian)
  8. Bilalov BT. Exponential shift system and Kostyuchenko problem. Sibirskiy Matematicheskiy Zhurnal 2009; 50(2): 279-288 (in Russian
  9. Bilalov BT. On basicity of perturbed exponential system in Morrey-type spaces. Siberian Mathematical Journal 2019;60: 249-271. (in Russian)
  10. Bilalov BT, Gasymov TB, Quliyeva AA. On solvability of Riemann boundary value problem in Morrey–Hardy classes. Turkish Journal of Mathematics 2016; 40(5): 1085-1101
  11. Bilalov BT, Guliyeva FA. A completeness criterion for a double system of powers with degenerate coefficients. Siberian Mathematical Journal 2013; 54(3): 536-543
  12. Bilalov BT, Guseynov ZG. Basicity of a system of exponents with a piece-wise linear phase in variable spaces. Mediterranean Journal of Mathematics 2012; 9(3): 487-498
  13. Bilalov BT, Guseynov ZG. Criterion for basicity of perturbed exponential system for Lebesgue spaces with variable index of summability. Dokladi Akademii Nauk 2011; 436(5): 586-589 (in Russian)
  14. Bilalov BT, Quliyeva AA. On basicity of exponential systems in Morrey-type spaces. International Journal of Mathematics 2014; 25(6): 10 pages
  15. Bitsadze AV. On some system of functions. Uspekhi Matematicheskikh Nauk 1950; 5: 4(38): 150-151 (in Russian)
  16. Cruz-Uribe DV, Fiorenza A. Variable Lebesgue spaces: Foundations and Harmonic Analysis. Springer, 2013
  17. Danilyuk II. Nonregular boundary value problems in the plane. Nauka 1975: 256 (in Russian)
  18. Gasymov TB, Quliyeva AA. On basicity of the system of exponents with linear phase in Morrey-Lebesgue space. Advances in Analysis 2018; 3(2): 113-120. [19]