LAUSR

Sharp Hardy inequalities on the solid torus

Sign Up to like & get
recommendations!
2 Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2016.11.042

Abstract: Abstract In this paper, we establish the classical Hardy inequality in the solid torus and some variants of it. The general idea is to use the fact that Sobolev embeddings can be improved in the… read more here.

Keywords: inequalities solid; sharp hardy; torus; solid torus ... See more keywords

Iterating Bilinear Hardy Inequalities

Sign Up to like & get
recommendations!
0 Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"

DOI: 10.1017/s0013091516000602

Abstract: Abstract An iteration technique for characterizing boundedness of certain types of multilinear operators is presented, reducing the problem to a corresponding linear-operator case. The method gives a simple proof of a characterization of validity of… read more here.

Keywords: bilinear hardy; hardy inequalities; iterating bilinear;

Hardy inequalities for the fractional powers of the Grushin operator

Sign Up to like & get
recommendations!
1 Published in 2020 at "Communications on Pure and Applied Analysis"

DOI: 10.3934/cpaa.2020192

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… read more here.

Keywords: inequalities fractional; grushin operator; fractional powers; powers grushin ... See more keywords