a question about holder continues











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when I was reading a paper, I came across an inequality which is $|u|_{W^{1,6}(curl)}leq|u|_{C^{0,alpha} (curl)}$,
where $alphain(0,frac{1}{2})$,



I'm confused with this inequality, I don't know whether there is some connection between holder space and integrable space, can you help me? thank you very much!






pde







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    down vote

    favorite












    when I was reading a paper, I came across an inequality which is $|u|_{W^{1,6}(curl)}leq|u|_{C^{0,alpha} (curl)}$,
    where $alphain(0,frac{1}{2})$,



    I'm confused with this inequality, I don't know whether there is some connection between holder space and integrable space, can you help me? thank you very much!






    pde







    share|cite|improve this question







    New contributor




    chloe hj is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      up vote
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      down vote

      favorite









      up vote
      0
      down vote

      favorite











      when I was reading a paper, I came across an inequality which is $|u|_{W^{1,6}(curl)}leq|u|_{C^{0,alpha} (curl)}$,
      where $alphain(0,frac{1}{2})$,



      I'm confused with this inequality, I don't know whether there is some connection between holder space and integrable space, can you help me? thank you very much!






      pde







      share|cite|improve this question







      New contributor




      chloe hj is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      when I was reading a paper, I came across an inequality which is $|u|_{W^{1,6}(curl)}leq|u|_{C^{0,alpha} (curl)}$,
      where $alphain(0,frac{1}{2})$,



      I'm confused with this inequality, I don't know whether there is some connection between holder space and integrable space, can you help me? thank you very much!






      pde




      pde






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      chloe hj is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      chloe hj is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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