11 citations · 17 across the 5 of their papers we have counts for
5 papers
Convergence of semigroups of measures on a Lie group
Pawel Glowacki
A theorem of Siebert asserts that if a sequence of semigroups of probability measures on a Lie group G is weakly convergent to a semigroup of the same type, then the corresponding…
Composition and -boundedness of flag kernels
Pawel Glowacki
We prove the composition and -boundedness theorems for the Nagel-Ricci-Stein flag kernels related to the natural gradation of homogeneous groups.
Invertibility of convolution operators on homogeneous groups
Pawel Glowacki
We say that a tempered distribution belongs to the class $S^m(\Ge)$ on a homogeneous Lie algebra $\Ge$ if its Abelian Fourier transform is a smooth function on the…
Flag kernels of arbitrary order
Pawel Glowacki
The notion of a flag kernel on a homogeneous group is exteded to distributions of arbitrary multidimensional order. It is shown that under natural restrictions on order the operati…
Lp-boundedness of flag kernels on homogeneous groups
Pawel Glowacki
We prove that the flag kernel singular integral operators of Nagel-Ricci-Stein on a homogeneous group are bounded on the Lp spaces. The gradation associated with the kernels is the…