BOUNDEDNESS OF SUBLINEAR OPERATORS GENERATED BY CALDERON-ZYGMUND OPERATORS ON GENERALIZED WEIGHTED MORREY SPACES
Yazarlar (3)
Dr. Öğr. Üyesi Turhan KARAMAN Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Ayhan Serbetci Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi Matematica (Q4) | ||
| Dergi ISSN | 1221-8421 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 60 / 1 / 227–244 | DOI | 10.2478/aicu-2013-0009 |
| Makale Linki | https://doi.org/10.2478/aicu-2013-0009 | ||
| Özet |
| In this paper we study the boundedness for a large class of sublinear operators T generated by Calderón-Zygmund operators on generalized weighted Morrey spaces Mp, φ (w) with the weight function w (x) belonging to Muckenhoupt's class Ap. We find the sufficient conditions on the pair (φ1, φ2) which ensures the boundedness of the operator T from one generalized weighted Morrey space Mp, φ 1 (w) to another Mp, φ 2 (w) for p> 1 and from M1, φ 1 (w) to the weak space W M1, φ 2 (w). In all cases the conditions for the boundedness are given in terms of Zygmund-type integral inequalities on (φ1, φ2), which do not assume any assumption on monotonicity of φ1, φ2 in r. Conditions of these theorems are satisfied by many important operators in analysis, in particular pseudodifferential operators, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator. |
| Anahtar Kelimeler |
| Bochner-Riesz operator | Calderón-Zygmund operators | Generalized weighted Morrey spaces | Littlewood-Paley operator | Marcinkiewicz operator | Pseudo-differential operators | Sublinear operators |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları |