Academic Journal
ON EQUIVALENCE OF SUPER LOG SOBOLEV AND NASH TYPE INEQUALITIES
| العنوان: | ON EQUIVALENCE OF SUPER LOG SOBOLEV AND NASH TYPE INEQUALITIES |
|---|---|
| المؤلفون: | Biroli, Marco, Maheux, Patrick |
| المساهمون: | Dipartimento di Matematica (DIPARTIMENTO DI MATEMATICA), Politecnico di Milano Milan (POLIMI), Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO), Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO) |
| المصدر: | Colloquium Mathematicum ; https://hal.archives-ouvertes.fr/hal-00465177 ; Colloquium Mathematicum, 2014, 137 (2), pp.189-208. ⟨10.4064/cm137-2-4⟩ ; http://journals.impan.gov.pl/cm/Inf/137-2-4.html |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2014 |
| المجموعة: | Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| مصطلحات موضوعية: | Orlicz-Sobolev inequality, sub-markovian semigroup, Nash-type inequality, Logarithmic Sobolev inequalities, 39B62, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] |
| الوصف: | Several years ago, a French version was available but with a limited diffusion.Here is the final version to appear in Colloquium Mathematicum.(Theorem 4.1 statement (2) corrected) ; International audience ; We prove the equivalence of Nash type and super logSobolev inequalities for Dirichlet forms. We also show that both inequalities are equivalent to Orlicz-Sobolev type inequalities. No ultracontractivity of the semigroup is assumed. It is known that there is no equivalence be- tween super log Sobolev or Nash type inequalities and ultracontractiv- ity. We discuss Davies-Simon’s counterexample as borderline case of this equivalence and related open problems. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-00465177; https://hal.archives-ouvertes.fr/hal-00465177; https://hal.archives-ouvertes.fr/hal-00465177v3/document; https://hal.archives-ouvertes.fr/hal-00465177v3/file/Biroli-MaheuxCM.pdf |
| DOI: | 10.4064/cm137-2-4 |
| الاتاحة: | https://hal.archives-ouvertes.fr/hal-00465177 https://hal.archives-ouvertes.fr/hal-00465177v3/document https://hal.archives-ouvertes.fr/hal-00465177v3/file/Biroli-MaheuxCM.pdf https://doi.org/10.4064/cm137-2-4 |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.D18DCF02 |
| قاعدة البيانات: | BASE |
| DOI: | 10.4064/cm137-2-4 |
|---|