Improved hardy and rellich type inequalities with two weight functions

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Ahmetolan S., KÖMBE İ.

Mathematical Inequalities and Applications, cilt.21, sa.3, ss.885-896, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.7153/mia-2018-21-60
  • Dergi Adı: Mathematical Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.885-896
  • Anahtar Kelimeler: Improved Hardy inequality with two weight functions, improved Rellich in-equality with two weight functions
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this work, we obtain several improved versions of two weight Hardy and Rellich type inequalities on the sub-Riemannian manifold R2n+1 defined by the vector fields ∂ ∂ Xj = ∂ x j + 2ky j |z|2k−2 ∂ ∂ l , Yj = ∂ y j − 2kx j |z|2k−2 ∂ ∂ l , j = 1, 2,..., n where (z, l) = (x, y, l) ∈ R2n+1 , |z| = (|x|2 + |y|2 )1/2 and k 1 .