Generalized Lebesgue Points for Hajłasz Functions
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Let X be a quasi-Banach function space over a doubling metric measure space P.
Denote by αX the generalized upper Boyd index of X.
We show that if αX<∞ and X has absolutely continuous quasinorm, then quasievery point is a generalized Lebesgue point of a quasicontinuous Hajłasz function u∈M˙s,X.
Moreover, if αX<(Q+s)/Q, then quasievery point is a Lebesgue point of u.
As an application we obtain Lebesgue type theorems for Lorentz–Hajłasz, Orlicz–Hajłasz, and variable exponent Hajłasz functions.
American Psychological Association (APA)
Heikkinen, Toni. 2018. Generalized Lebesgue Points for Hajłasz Functions. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1186448
Modern Language Association (MLA)
Heikkinen, Toni. Generalized Lebesgue Points for Hajłasz Functions. Journal of Function Spaces No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1186448
American Medical Association (AMA)
Heikkinen, Toni. Generalized Lebesgue Points for Hajłasz Functions. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1186448
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186448