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Let G be an infinite connected graph. We study the Sobolev regularity for the Hardy–Littlewood maximal operator and its fractional variants on G. Under certain geometric conditions on G, the… Click to show full abstract
Let G be an infinite connected graph. We study the Sobolev regularity for the Hardy–Littlewood maximal operator and its fractional variants on G. Under certain geometric conditions on G, the endpoint Sobolev regularity properties for the above maximal operators are established. In addition, we introduce Hajlasz–Sobolev spaces on G and show that the above operators are bounded on the above function spaces.
Keywords:
infinite connected;
maximal operators;
sobolev regularity;
regularity;
regularity maximal
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2021
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!