ON THE BOUUNDEDNESS OF FRACTIONAL B-MAXIMAL OPERATORS IN THE LORENTZ SPACES Lp,q,gamma >(R(+)n)
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.17, sa.2, ss.27-38, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 2
- Basım Tarihi: 2009
- Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.27-38
- Anahtar Kelimeler: Laplace-Bessel differential operator, generalized shift operator, gamma-rearrangement, Lorentz spaces, B-maximal function, fractional B-maximal function, BESSEL DIFFERENTIAL OPERATOR, BOUNDEDNESS, INEQUALITY
- Ankara Üniversitesi Adresli: Evet
Özet
In this study, sharp rearrangement inequalities for the fractional B-maximal function M(alpha,gamma)f are obtained in the Lorentz spaces L-p,L-q,L-gamma and by using these inequalities the boundedness conditions of the operator M-alpha,M-gamma are found. Then, the conditions for the boundedness of the B-maximal operator M-gamma are obtained in L-p,L-q,L-gamma.