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<p>This paper discusses parabolic reverse Hölder inequalities and their connections to parabolic Muckenhoupt weights. The main result gives several characterizations for this class of weights. There are challenging features related to the parabolic geometry and the time lag, for example, in covering and chaining arguments. We also prove a Gehring type self-improving property for parabolic reverse Hölder inequalities.</p>

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Characterizations of parabolic reverse Hölder classes

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月24日

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  • Juha Kinnunen,
  • Kim Myyryläinen

摘要

This paper discusses parabolic reverse Hölder inequalities and their connections to parabolic Muckenhoupt weights. The main result gives several characterizations for this class of weights. There are challenging features related to the parabolic geometry and the time lag, for example, in covering and chaining arguments. We also prove a Gehring type self-improving property for parabolic reverse Hölder inequalities.