Lower bound of measure and embeddings of Sobolev, Besov and Triebel–Lizorkin spaces | Zendy

Karak Nijjwal | Zendy

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Lower bound of measure and embeddings of Sobolev, Besov and Triebel–Lizorkin spaces

Author(s) -

Karak Nijjwal

Publication year - 2020

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201800121

Subject(s) - mathematics , sobolev space , measure (data warehouse) , geodesic , besov space , space (punctuation) , metric (unit) , domain (mathematical analysis) , pure mathematics , metric space , type (biology) , interpolation space , upper and lower bounds , mathematical analysis , functional analysis , computer science , data mining , ecology , biochemistry , chemistry , operations management , biology , gene , economics , operating system

In this article, we study the relation between Sobolev‐type embeddings for Sobolev spaces or Hajłasz–Besov spaces or Hajłasz–Triebel–Lizorkin spaces defined on a doubling and geodesic metric measure space and lower bound for measure of balls either in the whole space or in a domain inside the space.

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