A class of the Newtonian HK-Sobolev spaces on metric measure spaces

DOI10.1007/s13398-024-01584-1zbMath1547.4604MaRDI QIDQ6542385

Bipan Hazarika, Hari M. Srivastava, Unnamed Author

Publication date: 22 May 2024

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacePoincaré inequalityfractional maximal operatorupper gradientboundedness conditionsSobolev-type embeddingslower-bound conditionKuelbs-Steadman spaceHK-Sobolev space

Mathematics Subject Classification ID

Linear function spaces and their duals (46E99) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

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