Parabolic Fractional Maximal Operator in Modified Parabolic Morrey Spaces
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Baku State University, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Function Spaces and Applications (Q4) | ||
| Dergi ISSN | 0972-6802 | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2012 |
| Cilt / Sayı / Sayfa | 0 / 1 / – | DOI | 10.1155/2012/543475 |
| Makale Linki | https://downloads.hindawi.com/journals/jfs/2012/543475.pdf | ||
| Özet |
| We prove that the parabolic fractional maximal operator M-alpha(P), 0 <= alpha < gamma, is bounded from the modified parabolic Morrey space <(M)over tilde>(1,lambda,P)(R-n) to the weak modified parabolic Morrey space W (M) over tilde (q,lambda,P)(R-n) if and only if alpha/gamma <= 1 - 1/q <= alpha/(gamma-lambda) and from (M) over tilde (p,lambda,P)(R-n) to (M) over tilde (q,lambda,P)(R-n) if and only if alpha/gamma <= 1/p - 1/q <= alpha/(gamma-lambda). Here gamma = trP is the homogeneous dimension on R-n. In the limiting case (gamma-lambda)/alpha <= p <= gamma/alpha we prove that the operator M-alpha(P) is bounded from (M) over tilde (p,lambda,P)(R-n) to L infinity (R-n). As an application, we prove the boundedness of M-alpha(P) from the parabolic Besov- modified Morrey spaces (BM) over tilde (s)(p,theta,lambda)(R-n) to (BM) over tilde (s)(q,theta,lambda)(R-n). As other applications, we establish the boundedness of some Schr " odinger- ype operators on modified parabolic Morrey spaces related to certain nonnegative potentials belonging to the reverse H " older class. |
| Anahtar Kelimeler |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 3 |
| SCOPUS | 5 |