ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP

Cilt: 6 Sayı: 2 18 Mart 2014
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ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP

Öz

- semigroup associated with singular Laplace- Bessel differential operator

 

is introduced. Representations of the Riesz potentials ,  via the -semigroup are obtained.

 

Mathematics Subject Classification: 26A33, 44A35

Anahtar Kelimeler

Kaynakça

  1. Levitan, B. M., (1951), Bessel function expansions in series and Fourier Integrals, Uspekhi Mat. Nauk 6, No 2, 102-143 ( In Russian).
  2. Stein, E. M., (1961), The characterization of functions arising as potentials, Bull. Amer. Math. Soc., 67, No 1, 101-104.
  3. Muckenhoupt, B., Stein, E., (1965), Classical expansions and their relation to conjugate harmonic functions, Trans. Amer. Mat. Soc., 118, 17-92.
  4. Kipriyanov, I. A., (1967), The Fourier Bessel Transformation and embedding theorems for weighted class, Trudy Mat. Inst. AN SSSR, 89, 130-213. ( In Russian)
  5. Wheeden, R. L., (1969), On hypersingular Integrals and Lebesgue Spaces of differentiable functions, II. Trans. Amer. Math. Soc., 139, No 1, 37-53. Lizorkin, P. I., (1970), On description of   n r p R L space in the term of difference singular integrals, Math. Sbornik, 81, No 1, 79-91.
  6. Stein, E. M., (1970), Singular integrals and differentiability Properties of Functions, Princeton Univ., Press, Princeton, N. J.
  7. Kipriyanov, I. A., Klyuchantsev, M. I., (1970), On Singular Integrals generated by the generalized shift operator, II. Sibirsk. Mat. Zh. 11, 1060-1083 ( In Russian); English translate in: Siberian Math. J. 11
  8. Klyuchantsev, M. I.,(1970), On Singular integrals generated by the generalized shift operator, I. Sibirsk. Mat. Zh. 11, 810-821 ( In Russian)

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Simten Bayrakçı Bu kişi benim

Yayımlanma Tarihi

18 Mart 2014

Gönderilme Tarihi

18 Mart 2014

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2013 Cilt: 6 Sayı: 2

Kaynak Göster

APA
Keleş, Ş., & Bayrakçı, S. (2014). ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP. Erzincan University Journal of Science and Technology, 6(2), 175-186. https://izlik.org/JA27WX66SZ
AMA
1.Keleş Ş, Bayrakçı S. ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP. Erzincan University Journal of Science and Technology. 2014;6(2):175-186. https://izlik.org/JA27WX66SZ
Chicago
Keleş, Şeyda, ve Simten Bayrakçı. 2014. “ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP”. Erzincan University Journal of Science and Technology 6 (2): 175-86. https://izlik.org/JA27WX66SZ.
EndNote
Keleş Ş, Bayrakçı S (01 Mart 2014) ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP. Erzincan University Journal of Science and Technology 6 2 175–186.
IEEE
[1]Ş. Keleş ve S. Bayrakçı, “ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP”, Erzincan University Journal of Science and Technology, c. 6, sy 2, ss. 175–186, Mar. 2014, [çevrimiçi]. Erişim adresi: https://izlik.org/JA27WX66SZ
ISNAD
Keleş, Şeyda - Bayrakçı, Simten. “ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP”. Erzincan University Journal of Science and Technology 6/2 (01 Mart 2014): 175-186. https://izlik.org/JA27WX66SZ.
JAMA
1.Keleş Ş, Bayrakçı S. ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP. Erzincan University Journal of Science and Technology. 2014;6:175–186.
MLA
Keleş, Şeyda, ve Simten Bayrakçı. “ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP”. Erzincan University Journal of Science and Technology, c. 6, sy 2, Mart 2014, ss. 175-86, https://izlik.org/JA27WX66SZ.
Vancouver
1.Şeyda Keleş, Simten Bayrakçı. ON  SEMIGROUP GENERATED BY FOURIER- BESSEL TRANSFORM AND RIESZ POTENTIAL ASSOCIATED WITH   SEMIGROUP. Erzincan University Journal of Science and Technology [Internet]. 01 Mart 2014;6(2):175-86. Erişim adresi: https://izlik.org/JA27WX66SZ