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Convolution operators on Hardy spaces

100%

Lin C.-C.

Studia Mathematica

1996

tom 120

nr 1

53-59

We give sufficient conditions on the kernel K for the convolution operator Tf = K ∗ f to be bounded on Hardy spaces $H^p(G)$, where G is a homogeneous group.

On semigroups generated by subelliptic operators on homogeneous groups

100%

Dziubański J.

Colloquium Mathematicum

1993

tom 64

nr 2

215-231

A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries

75%

Le Donne E.

Analysis and Geometry in Metric Spaces

2017

tom 5

nr 1

116-137

Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance. We present the basic theory of Carnot groups together with several remarks.We consider them as special cases of graded groups and as homogeneous metric spaces.We discuss the regularity of isometries in the general case of Carnot-Carathéodory spaces and of nilpotent metric Lie groups.

Ograniczanie wyników

1 Analysis and Geometry in Metric Spaces

1 Colloquium Mathematicum

1 Studia Mathematica

1 Dziubański J.

1 Le Donne E.

1 Lin C.-C.

1 2017

1 1996

1 1993

Wyniki wyszukiwania

Convolution operators on Hardy spaces

On semigroups generated by subelliptic operators on homogeneous groups

A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries