WEIGHTED ESTIMATES OF MULTIDIMENSIONAL SINGULAR-INTEGRALS GENERATED BY THE GENERALIZED SHIFT OPERATOR

ALİYEV İ., GADZHIEV A.

RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, cilt.77, sa.1, ss.37-55, 1994 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 1
  • Basım Tarihi: 1994
  • Doi Numarası: 10.1070/sm1994v077n01abeh003428
  • Dergi Adı: RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.37-55
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Sufficient conditions on weights are found that ensure that a multidimensional singular integral operator generated by the generalized shift operator acts boundedly from one weighted L(p)-space into another. It is shown that in some cases the conditions are sharp.