Capacity in Besov and Triebel-Lizorkin spaces with generalized smoothness

DOI10.1515/GMJ-2024-2015MaRDI QIDQ6654590

Nijjwal Karak, Debarati Mondal

Publication date: 20 December 2024

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

capacityHausdorff contentHajłasz-Besov spaceHajłasz-Triebel-Lizorkin spaceNetrusov-Hausdorff content

Mathematics Subject Classification ID

Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Potential theory on fractals and metric spaces (31E05)

Cites Work

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• Lebesgue Points for Orlicz-Sobolev Functions on Metric Measure Spaces
• Approximation and quasicontinuity of Besov and Triebel–Lizorkin functions
• The Besov capacity in metric spaces
• Spaces of Functions of Generalized Smoothness
• Local growth envelopes of spaces of generalized smoothness: the subcriticalcase
• Local growth envelopes of spaces of generalized smoothness: the critical case
• Medians, continuity, and vanishing oscillation
• Triebel-Lizorkin capacity and hausdorff measure in metric spaces
• Besov and Triebel-Lizorkin capacity in metric spaces

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Triebel-Lizorkin capacity and Hausdorff measure in metric spaces with chain condition

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