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We establish uncertainty principles and Hardy inequalities for the fractional Grushin operator, which are reduced to those inequalities for the fractional generalized sublaplacian. The key ingredients to obtain them are… Click to show full abstract
We establish uncertainty principles and Hardy inequalities for the fractional Grushin operator, which are reduced to those inequalities for the fractional generalized sublaplacian. The key ingredients to obtain them are an explicit integral representation and a ground state representation for the fractional powers of generalized sublaplacian.
Keywords:
inequalities fractional;
grushin operator;
fractional powers;
powers grushin;
hardy inequalities
Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020
Link to full text (if available)
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Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!