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

ALİYEV, İLHAM; GADZHIEV, AD

doi:10.1070/sm1994v077n01abeh003428

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)

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.