Intrinsic fractional Taylor formula
We consider a class of non-local ultraparabolic Kolmogorov operators and a suitable fractional Holder spaces that take into account the intrinsic sub-riemannian geometry induced by the operators. We prove an intrinsic fractional Taylor formula in such spaces with global bounds for the remainder give...
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| Format: | Article |
| Language: | English |
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University of Bologna
2022-01-01
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| Series: | Bruno Pini Mathematical Analysis Seminar |
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| Online Access: | https://mathematicalanalysis.unibo.it/article/view/14178 |
| _version_ | 1819005175560404992 |
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| author | Maria Manfredini |
| author_facet | Maria Manfredini |
| author_sort | Maria Manfredini |
| collection | DOAJ |
| description | We consider a class of non-local ultraparabolic Kolmogorov operators and a suitable fractional Holder spaces that take into account the intrinsic sub-riemannian geometry induced by the operators. We prove an intrinsic fractional Taylor formula in such spaces with global bounds for the remainder given in terms of the norm naturally associated to the differential operator. |
| first_indexed | 2024-12-20T23:48:37Z |
| format | Article |
| id | doaj.art-85278a57a6bc40d58ab2772cf91de7bb |
| institution | Directory Open Access Journal |
| issn | 2240-2829 |
| language | English |
| last_indexed | 2024-12-20T23:48:37Z |
| publishDate | 2022-01-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Bruno Pini Mathematical Analysis Seminar |
| spelling | doaj.art-85278a57a6bc40d58ab2772cf91de7bb2022-12-21T19:22:53ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292022-01-0112111410.6092/issn.2240-2829/1417812501Intrinsic fractional Taylor formulaMaria Manfredini0Università di Modena e Reggio EmiliaWe consider a class of non-local ultraparabolic Kolmogorov operators and a suitable fractional Holder spaces that take into account the intrinsic sub-riemannian geometry induced by the operators. We prove an intrinsic fractional Taylor formula in such spaces with global bounds for the remainder given in terms of the norm naturally associated to the differential operator.https://mathematicalanalysis.unibo.it/article/view/14178non-local kolmogorov operatorhypoelliptic operatorhormander's conditionintrinsic taylor formula |
| spellingShingle | Maria Manfredini Intrinsic fractional Taylor formula Bruno Pini Mathematical Analysis Seminar non-local kolmogorov operator hypoelliptic operator hormander's condition intrinsic taylor formula |
| title | Intrinsic fractional Taylor formula |
| title_full | Intrinsic fractional Taylor formula |
| title_fullStr | Intrinsic fractional Taylor formula |
| title_full_unstemmed | Intrinsic fractional Taylor formula |
| title_short | Intrinsic fractional Taylor formula |
| title_sort | intrinsic fractional taylor formula |
| topic | non-local kolmogorov operator hypoelliptic operator hormander's condition intrinsic taylor formula |
| url | https://mathematicalanalysis.unibo.it/article/view/14178 |
| work_keys_str_mv | AT mariamanfredini intrinsicfractionaltaylorformula |