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In this chapter, we present the regularity theory in Lebesgue spaces for global solutions of fractional equations. The methodology relies on Riesz and Bessel potential analysis and also encompasses the framework of Sobolev and Besov spaces.

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Regularity Theory in Lebesgue Spaces for Global Solutions

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  • 发表日期：

    2025年

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  • Nicola Abatangelo,
  • Serena Dipierro,
  • Enrico Valdinoci

摘要

In this chapter, we present the regularity theory in Lebesgue spaces for global solutions of fractional equations. The methodology relies on Riesz and Bessel potential analysis and also encompasses the framework of Sobolev and Besov spaces.