تقرير
Fractional maximal operators on weighted variable Lebesgue spaces over the spaces of homogeneous type
| العنوان: | Fractional maximal operators on weighted variable Lebesgue spaces over the spaces of homogeneous type |
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| المؤلفون: | Cen, Xi |
| المصدر: | Anal.Math.Phys. 14, 94 (2024) |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, 42B25, 42B35 |
| الوصف: | Let $(X,d,\mu)$ is a space of homogeneous type, we establish a new class of fractional-type variable weights $A_{p(\cdot), q(\cdot)}(X)$. Then, we get the new weighted strong-type and weak-type characterizations for fractional maximal operators $M_\eta$ on weighted variable Lebesgue spaces over $(X,d,\mu)$. This study generalizes the results by Cruz-Uribe-Fiorenza-Neugebauer (2012), Bernardis-Dalmasso-Pradolini (2014), Cruz-Uribe-Shukla (2018), and Cruz-Uribe-Cummings (2022). Comment: In the officially published documents, there is a symbol error in Theorem 1.10 and there is an additional reference in the References. We have corrected these mistakes |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s13324-024-00955-6 |
| URL الوصول: | http://arxiv.org/abs/2404.15550 |
| رقم الأكسشن: | edsarx.2404.15550 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s13324-024-00955-6 |
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