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This paper discusses parabolic reverse H\"older inequalities and theirconnections to parabolic Muckenhoupt weights. The main result gives severalcharacterizations for this class of weights. There are challenging featuresrelated to the parabolic geometry and the time lag, for example, in coveringand chaining arguments. We also prove a Gehring type self-improving propertyfor parabolic reverse H\"older inequalities.

Characterizations of parabolic reverse H\"older classes