Academic Journal
L2 boundedness of the Cauchy transform implies L2 boundedness of all Carlderón-Zygmund operators associated to odd kernels
| العنوان: | L2 boundedness of the Cauchy transform implies L2 boundedness of all Carlderón-Zygmund operators associated to odd kernels |
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| المؤلفون: | Tolsa Domènech, Xavier |
| سنة النشر: | 2004 |
| المجموعة: | Universitat Autònoma de Barcelona: Dipòsit Digital de Documents de la UAB |
| مصطلحات موضوعية: | Cauchy transform, Calderón-Zygmund operators, L2 estimates, Corona decomposition, Non doubling measures |
| الوصف: | Let µ be a Radon measure on C without atoms. In this paper we prove that if the Cauchy transform is bounded in L2 (µ), then all 1-dimensional Calder'on-Zygmund operators associated to odd and sufficiently smooth kernels are also bounded in L2 (µ). |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 20144350 10044221 |
| Relation: | Publicacions matemà tiques; V. 48 N. 2 (2004), p. 445-479; https://ddd.uab.cat/record/2042; urn:10.5565/PUBLMAT_48204_09; urn:oai:ddd.uab.cat:2042; urn:recercauab:ARE-60566; urn:articleid:20144350v48n2p445; urn:oai:raco.cat:article/38106; urn:scopus_id:10044221910; urn:wos_id:000224362900009; urn:oai:egreta.uab.cat:publications/88f6570a-3eee-4c12-ac8d-12fda41f3787 |
| الاتاحة: | https://ddd.uab.cat/record/2042 |
| Rights: | open access ; Tots els drets reservats. ; https://rightsstatements.org/vocab/InC/1.0/ |
| رقم الانضمام: | edsbas.815DBB7F |
| قاعدة البيانات: | BASE |
| تدمد: | 20144350 10044221 |
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