New Generalizations and Results in Shift-Invariant Subspaces of Mixed-Norm Lebesgue Spaces \({L_{\vec{p}}(\mathbb{R}^d)}\)

التفاصيل البيبلوغرافية
العنوان:	New Generalizations and Results in Shift-Invariant Subspaces of Mixed-Norm Lebesgue Spaces \({L_{\vec{p}}(\mathbb{R}^d)}\)
المؤلفون:	Junjian Zhao, Wei-Shih Du, Yasong Chen
المصدر:	Mathematics, Vol 9, Iss 3, p 227 (2021)
بيانات النشر:	MDPI AG
سنة النشر:	2021
المجموعة:	Directory of Open Access Journals: DOAJ Articles
مصطلحات موضوعية:	mixed-norm, shift-invariant space, stability theorem, convolution type inequality, Hölder type inequality, Minkowski type inequality, Mathematics, QA1-939
الوصف:	In this paper, we establish new generalizations and results in shift-invariant subspaces of mixed-norm Lebesgue spaces L p → ( R d ) . We obtain a mixed-norm Hölder inequality, a mixed-norm Minkowski inequality, a mixed-norm convolution inequality, a convolution-Hölder type inequality and a stability theorem to mixed-norm case in the setting of shift-invariant subspace of L p → ( R d ) . Our new results unify and refine the existing results in the literature.
نوع الوثيقة:	article in journal/newspaper
اللغة:	English
تدمد:	2227-7390
Relation:	https://www.mdpi.com/2227-7390/9/3/227; https://doaj.org/toc/2227-7390; https://doaj.org/article/dc6db1012f3e464da2997162f37dd37c
DOI:	10.3390/math9030227
الاتاحة:	https://doi.org/10.3390/math9030227 https://doaj.org/article/dc6db1012f3e464da2997162f37dd37c
رقم الانضمام:	edsbas.7FF64F1D
قاعدة البيانات:	BASE

الوصف
تدمد:	22277390
DOI:	10.3390/math9030227