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BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 69 Sayı: 1, 847 - 853, 30.06.2020
https://doi.org/10.31801/cfsuasmas.673191

Öz

Kaynakça

  • El Hamma, M. and Daher, R., Generalization of Titchmarsh's Theorem for the Bessel transform, Rom. J. Math. Comput. Sci. 2(2), (2012), 17--22.
  • Ekincioglu, I. and Ozkin, I. K., On high order Riesz transformations generated by a generalized shift operator, Tr. J. Math. 21 (1997), 51--60.
  • Ekincioglu, I. and Serbetci, A., On the singular integral operators generated by the generalized shift operator, Int. J. App. Math. 1 (1999), 29--38.
  • Kipriyanov, I. A., Singular Elliptic Boundary Value Problems, Nauka, Moscow, Russia, 1997.
  • Kipriyanov, I. A. and Lyakhov, L. N., Multipliers of the mixed Fourier-Bessel transform, Dokl. Akad. Nauk. 354(4), (1997), 449--451.
  • Kipriyanov, I. A. and Klyuchantsev, M. I., On Singular Integrals Generated by The Generalized Shift Operator, II. Sib. Mat. Zh. 11 (1970), 1060--1083.
  • Levitan, B. M., The Theory of Generalized Translation Operators, Nauka, Moscow, Russia, 1973.
  • Levitan, B. M., Bessel function expansions in series and Fourier integrals, Uspekhi Mat. Nauk 6. 42(2), (1951), 102--143.
  • Levitan, B. M., Expansion in Fourier series and integrals over Bessel functions, Uspekhi Mat. Nauk 6. 2 (1951), 102--143.
  • El Quadih, S., Daher, R. and El Hamma, M., Generalization of Titchmarsh's Theorem for the Generalized Fourier-Bessel Transform in the Space L_{α,n}², International Journal of Mathematical Modelling Computations 6(3), (2016), 253--260.
  • Trimèche, K., Transmutation operators and mean-periodic functions associated with differential operators, Math. Rep. 4(1), (1988), 1--282.
  • Younis, M. S., Fourier transforms of Dini-Lipschitz functions, Internat. J. Math. & Math. Sci. 9(2), (1986) 301--312.

Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$

Yıl 2020, Cilt: 69 Sayı: 1, 847 - 853, 30.06.2020
https://doi.org/10.31801/cfsuasmas.673191

Öz

In this paper, we prove a generalization of Titchmarsh's theorem for the Laplace-Bessel differential operator in the space
$L_{p,\gamma}(\mathbb{R}^{n}_{+})$ for functions satisfying the $(\psi,p)$-Laplace-Bessel Lipschitz condition for $1

0 $.

Kaynakça

  • El Hamma, M. and Daher, R., Generalization of Titchmarsh's Theorem for the Bessel transform, Rom. J. Math. Comput. Sci. 2(2), (2012), 17--22.
  • Ekincioglu, I. and Ozkin, I. K., On high order Riesz transformations generated by a generalized shift operator, Tr. J. Math. 21 (1997), 51--60.
  • Ekincioglu, I. and Serbetci, A., On the singular integral operators generated by the generalized shift operator, Int. J. App. Math. 1 (1999), 29--38.
  • Kipriyanov, I. A., Singular Elliptic Boundary Value Problems, Nauka, Moscow, Russia, 1997.
  • Kipriyanov, I. A. and Lyakhov, L. N., Multipliers of the mixed Fourier-Bessel transform, Dokl. Akad. Nauk. 354(4), (1997), 449--451.
  • Kipriyanov, I. A. and Klyuchantsev, M. I., On Singular Integrals Generated by The Generalized Shift Operator, II. Sib. Mat. Zh. 11 (1970), 1060--1083.
  • Levitan, B. M., The Theory of Generalized Translation Operators, Nauka, Moscow, Russia, 1973.
  • Levitan, B. M., Bessel function expansions in series and Fourier integrals, Uspekhi Mat. Nauk 6. 42(2), (1951), 102--143.
  • Levitan, B. M., Expansion in Fourier series and integrals over Bessel functions, Uspekhi Mat. Nauk 6. 2 (1951), 102--143.
  • El Quadih, S., Daher, R. and El Hamma, M., Generalization of Titchmarsh's Theorem for the Generalized Fourier-Bessel Transform in the Space L_{α,n}², International Journal of Mathematical Modelling Computations 6(3), (2016), 253--260.
  • Trimèche, K., Transmutation operators and mean-periodic functions associated with differential operators, Math. Rep. 4(1), (1988), 1--282.
  • Younis, M. S., Fourier transforms of Dini-Lipschitz functions, Internat. J. Math. & Math. Sci. 9(2), (1986) 301--312.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Research Article
Yazarlar

İsmail Ekincioğlu 0000-0002-5636-1214

Esra Kaya 0000-0002-6971-0452

Şeyma Ekincioglu 0000-0001-6700-8232

Yayımlanma Tarihi 30 Haziran 2020
Gönderilme Tarihi 10 Ocak 2020
Kabul Tarihi 6 Mart 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 69 Sayı: 1

Kaynak Göster

APA Ekincioğlu, İ., Kaya, E., & Ekincioglu, Ş. (2020). Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 847-853. https://doi.org/10.31801/cfsuasmas.673191
AMA Ekincioğlu İ, Kaya E, Ekincioglu Ş. Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Haziran 2020;69(1):847-853. doi:10.31801/cfsuasmas.673191
Chicago Ekincioğlu, İsmail, Esra Kaya, ve Şeyma Ekincioglu. “Fourier-Bessel Transforms of Dini-Lipschitz Functions on Lebesgue Spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69, sy. 1 (Haziran 2020): 847-53. https://doi.org/10.31801/cfsuasmas.673191.
EndNote Ekincioğlu İ, Kaya E, Ekincioglu Ş (01 Haziran 2020) Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 847–853.
IEEE İ. Ekincioğlu, E. Kaya, ve Ş. Ekincioglu, “Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 69, sy. 1, ss. 847–853, 2020, doi: 10.31801/cfsuasmas.673191.
ISNAD Ekincioğlu, İsmail vd. “Fourier-Bessel Transforms of Dini-Lipschitz Functions on Lebesgue Spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (Haziran 2020), 847-853. https://doi.org/10.31801/cfsuasmas.673191.
JAMA Ekincioğlu İ, Kaya E, Ekincioglu Ş. Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:847–853.
MLA Ekincioğlu, İsmail vd. “Fourier-Bessel Transforms of Dini-Lipschitz Functions on Lebesgue Spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 69, sy. 1, 2020, ss. 847-53, doi:10.31801/cfsuasmas.673191.
Vancouver Ekincioğlu İ, Kaya E, Ekincioglu Ş. Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):847-53.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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