Some inequalities for integral operators, associated with the Bessel differential operator
Yazarlar (4)
| Bildiri Türü | Tebliğ/Bildiri | Bildiri Dili | İngilizce |
| Bildiri Alt Türü | Tam Metin Olarak Yayınlanan Tebliğ (Uluslararası Kongre/Sempozyum) | ||
| Bildiri Niteliği | Web of Science Kapsamındaki Kongre/Sempozyum | ||
| Kongre Adı | International Conference on Function Spaces, Differential Operators and Nonlinear Analysis | ||
| Kongre Tarihi | 28-06-2001 / 04-07-2001 | ||
| Basıldığı Ülke | Almanya | Basıldığı Şehir | TEISTUNGEN |
| Özet |
| In this paper we consider maximal functions, fractional maximal functions and fractional integrals which are generated by a generalized shift operator, associated with the Bessel differential operator B = A(B-1,..., B-n), B-i = partial derivative2/partial derivativex(i)(2) + gamma(i)/x(i) partial derivative/partial derivativex(i), i =1, ..., n. We present inequalities for these operators in corresponding weighted L-p-spaces. In a special case we have found necessary and sufficient conditions for pairs of weights ensuring the validity of strong type inequalities for fractional integrals. |
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