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, cilt.49, sa.4, ss.1405-1413, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15672/hujms.489071
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1405-1413
  • Anahtar Kelimeler: Flett potentials, truncated hypersingular integrals, Poisson semigroup, WAVELET TRANSFORMS, BESSEL POTENTIALS, AID, SPACES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.