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Title:           Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains
Subject:         Journal of Functional Analysis, 288 (2025) 110672. 10.1016/j.jfa.2024.110672
Author:          Josep M. Gallegos
Creator:         Elsevier
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     Item: 
      Title: Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains
      Destination: yjfan110672.title.0:1
      Children: 
       Item: 
        Title: 1 Introduction
        Destination: yjfan110672.section.1:2
        Children: 
         Item: 
          Title: 1.1 Definitions
          Destination: yjfan110672.subsection.1:3
         Item: 
          Title: 1.2 Main results
          Destination: yjfan110672.subsection.2:6
         Item: 
          Title: 1.3 Historical remarks
          Destination: yjfan110672.subsection.3:16
         Item: 
          Title: 1.4 Strategy of the proofs
          Destination: yjfan110672.subsection.4:17
         Item: 
          Title: 1.5 Organization of the paper
          Destination: yjfan110672.subsection.5:18
       Item: 
        Title: 2 Preliminaries
        Destination: yjfan110672.section.2:19
        Children: 
         Item: 
          Title: 2.1 Hajłasz-Sobolev spaces
          Destination: yjfan110672.subsection.1:20
         Item: 
          Title: 2.2 Whitney decomposition
          Destination: yjfan110672.subsection.2:24
         Item: 
          Title: 2.3 Calderón maximal operator
          Destination: yjfan110672.subsection.3:26
         Item: 
          Title: 2.4 Hardy space H1
          Destination: yjfan110672.subsection.4:28
         Item: 
          Title: 2.5 Measure theoretic boundary, tangential gradients and Hofmann-Mitrea-Taylor Sobolev spaces
          Destination: yjfan110672.subsection.5:29
         Item: 
          Title: 2.6 Strong Poincaré inequalities on domains with n-Ahlfors regular boundary
          Destination: yjfan110672.subsection.6:34
         Item: 
          Title: 2.7 Harmonic and elliptic measures
          Destination: yjfan110672.subsection.7:39
         Item: 
          Title: 2.8 Tent spaces on domains
          Destination: yjfan110672.subsection.8:44
         Item: 
          Title: 2.9 Variants of the Dirichlet and Regularity problems
          Destination: yjfan110672.subsection.9:51
       Item: 
        Title: 3 Atomic decomposition of Hajłasz-Sobolev spaces on Ahlfors regular metric spaces
        Destination: yjfan110672.section.3:54
        Children: 
         Item: 
          Title: 3.1 Interpolation in Hajłasz-Sobolev spaces
          Destination: yjfan110672.subsection.1:60
       Item: 
        Title: 4 Regularity problem in the tangential Hardy-Sobolev space HS1,1
        Destination: yjfan110672.section.4:62
       Item: 
        Title: 5 Extrapolation of solvability of the regularity problem
        Destination: yjfan110672.section.5:65
        Children: 
         Item: 
          Title: 5.1 Rp implies Rq for all q between 1-e and p
          Destination: yjfan110672.subsection.1:67
         Item: 
          Title: 5.2 R1 implies R(1+e)
          Destination: yjfan110672.subsection.2:69
         Item: 
          Title: 5.3 Extrapolation of solvability of the modified Poisson regularity problem
          Destination: yjfan110672.subsection.3:74
       Item: 
        Title: Data availability
        Destination: yjfan110672.section.5:76
       Item: 
        Title: References
        Destination: yjfan110672.section.5:77
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    Subject: Journal of Functional Analysis, 288 (2025) 110672. 10.1016/j.jfa.2024.110672
    Creator: Elsevier
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               <rdf:li>Josep M. Gallegos</rdf:li>
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               <rdf:li>Second order elliptic equations</rdf:li>
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