Perron’s capacity of random sets

DOI10.1017/s0013091523000482zbMath1529.42017arXiv2312.11964OpenAlexW4386373187MaRDI QIDQ6180583

Unnamed Author

Publication date: 22 December 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2312.11964

zbMATH Keywords

maximal operatorreal analysisharmonic analysisdifferentiation of integralslacunary sets of finite order

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Continuity and differentiation questions (26B05)

Cites Work

• Kakeya sets and directional maximal operators in the plane
• Applications of generalized Perron trees to maximal functions and density bases
• A counterexample for maximal operators over a Cantor set of directions
• The multiplier problem for the ball
• Differentiating Orlicz spaces with rectangles having fixed shapes in a set of directions
• Differentiation in lacunary directions
• (Un)boundedness of directional maximal operators through a notion of “Perron capacity” and an application
• Application of Perron trees to geometric maximal operators

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