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https://hdl.handle.net/11499/47732| Title: | Two-type estimates for the boundedness of generalized Riesz potential operator in the generalized weighted local Morrey spaces | Authors: | Küçükaslan, Abdulhamit | Keywords: | generalized Riesz potential operator generalized weighted local Morrey spaces generalized weighted Morrey spaces Muckenhoupt-Weeden classes |
Publisher: | Tbilisi Centre for Mathematical Sciences | Abstract: | In this paper, we prove the Spanne-type boundedness of the generalized Riesz potential operator I? on the generalized weighted local Morrey spaces with wq ? A1+ q/p? for 1 < p < q < ? and including its the weak estimates with w ? A1,q for 1 < q < ?. We also prove the Adams-type boundedness of the operator I? on the generalized weighted Morrey spaces with w ? Ap,q for 1 < p < q < ? and also including its the weak estimates with w ? A1,q for 1 < q < ?. © 2021 Tbilisi Centre for Mathematical Sciences. All rights reserved. | URI: | https://doi.org/10.3251/asetmj/1932200817 https://hdl.handle.net/11499/47732 |
ISSN: | 2667-9930 |
| Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection Uygulamalı Bilimler Yüksekokulu Koleksiyonu |
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