Lower bound of measure and embeddings of Sobolev, Besov and\n Triebel-Lizorkin spaces

2018/03/22 by Nijjwal Karak, Karak, Nijjwal · 1 citation
Mathematics · #42B35 #46E35 #Advanced Harmonic Analysis Research #Besov space #Birnbaum–Orlicz space #Computer science #Domain (mathematical analysis) #FOS: Mathematics #Functional Analysis (math.FA) #Functional analysis #Geodesic #Geology #Geometric Analysis and Curvature Flows #Interpolation space #Mathematical analysis #Mathematics #Measure (data warehouse) #Metric (unit) #Metric space #Nonlinear Partial Differential Equations #Pure mathematics #Sobolev inequality #Sobolev space #Space (punctuation) #Type (biology) #math.FA #msc:42B35 #msc:46E35

paper · pdf · doi:10.48550/arxiv.1803.08499

published in arXiv (Cornell University) (Cornell University) · 12 pages, 0 figures. arXiv admin note: text overlap with arXiv:1803.00224

arxiv created 2018/03/22 · openalex publication_date 2018/03/22 · arxiv updated 2018/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

In this article, we study the relation between Sobolev-type embeddings for\nSobolev spaces or Besov spaces or Triebel-Lizorkin spaces defined either on a\ndoubling or on a geodesic metric measure space and lower bound for measure of\nballs either in the whole space or in a domain inside the space.\n

Citations

• Measure density and Embeddings of Hajłasz-Besov and Hajłasz-Triebel-Lizorkin spaces

Cited by

• Logarithmic double phase embeddings with variable exponents: Necessary and Sufficient Conditions

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