<p>We prove a version of the Lebesgue differentiation theorem for uncentered averages in general metric measure spaces under suitable localized volume growth conditions.</p>

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Lebesgue differentiation theorem with uncentered balls on metric spaces

  • M. Ashraf Bhat,
  • G. Sankara Raju Kosuru

摘要

We prove a version of the Lebesgue differentiation theorem for uncentered averages in general metric measure spaces under suitable localized volume growth conditions.