Two weighted inequalities for B-fractional integrals

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Eroglu A., Hajibayov M. G., ŞERBETÇİ A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2016, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2016
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1186/s13660-016-1104-2
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Laplace-Bessel differential operator, B-fractional integrals, Stein-Weiss inequality, POTENTIALS, OPERATORS, SPACES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we prove a two weighted inequality for Riesz potentials I-alpha,I-gamma f (B-fractional integrals) associated with the Laplace-Bessel differential operator Delta(B)= Sigma(n)(i=1) partial derivative(2)/partial derivative x(i)(2) + Sigma(k)(j=1) gamma(j)/x(j) partial derivative/partial derivative xj. This result is an analog of Heinig's result (Indiana Univ. Math. J. 33(4):573-582, 1984) for the B-fractional integral. Further, the Stein-Weiss inequality for B-fractional integrals is proved as an application of this result.