A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials

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Evcan S., ERYİĞİT M., ÇOBANOĞLU S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.49, no.4, pp.1405-1413, 2020 (SCI-Expanded, Scopus, TRDizin)

  • Publication Type: Article / Article
  • Volume: 49 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.15672/hujms.489071
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1405-1413
  • Keywords: Flett potentials, truncated hypersingular integrals, Poisson semigroup, WAVELET TRANSFORMS, BESSEL POTENTIALS, AID, SPACES
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

In the present paper we introduce new truncated" hypersingular integral operators D(epsilon)(alpha )f, (epsilon > 0) generated by the modified Poisson semigroup and obtain an explicit inversion formula for the Flett potentials in framework of L-p-spaces.