Some Intrinsic Characterizations of Besov–Triebel–Lizorkin–Morrey–Type Spaces on Lipschitz Domains

Yao, Liding

doi:10.1007/s00041-023-10001-x

J Fourier Anal Appl

2023

DOI: 10.1007/s00041-023-10001-x

|View full text |Cite

Some Intrinsic Characterizations of Besov–Triebel–Lizorkin–Morrey–Type Spaces on Lipschitz Domains

Liding Yao

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article3

Relationship

Self Cite1

Independent2

Authors

Journals

Cited by 3 publications

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Shi,

Yao

2023

Mathematische Nachrichten

Self Cite

View full text Add to dashboard Cite

Given a bounded Lipschitz domain , Rychkov showed that there is a linear extension operator for Ω, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator and give some applications. We prove the equivalent norms for general Besov and Triebel‐Lizorkin spaces. We also derive some quantitative smoothing estimates of the extended function and all its derivatives on up to the boundary.

show abstract

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Shi,

Yao

2023

Mathematische Nachrichten

Self Cite

View full text Add to dashboard Cite

show abstract

Oscillations and differences in Triebel–Lizorkin–Morrey spaces

Hovemann,

Weimar

2024

Rev Mat Complut

View full text Add to dashboard Cite

Sobolev and Hölder estimates for homotopy operators of the ∂‾-equation on convex domains of finite multitype

Yao

2024

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Some Intrinsic Characterizations of Besov–Triebel–Lizorkin–Morrey–Type Spaces on Lipschitz Domains

Cited by 3 publications

References 20 publications

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Oscillations and differences in Triebel–Lizorkin–Morrey spaces

Sobolev and Hölder estimates for homotopy operators of the ∂‾-equation on convex domains of finite multitype

Contact Info

Product

Resources

About