Riesz and Bessel potentials, the gk functions and an area function for the Gaussian measure γ

This condition, related to the normal component on ∂D of the ∂-operator, permits us to study the Neumann problem for pluriharmonic functions and the ∂-problem for (0, 1)-forms on D

It is shown that for a wide class of spaces, namely the locally compact σ-compact ones, the Riesz decomposition on the monoid forces the (covering) dimension of the space to be

The role played by the Cauchy transform in connection with analytic capacity corresponds to the Riesz transforms in the case of Lipschitz harmonic capacity.. See Section 4 for

It becomes clear that the proof depends on the following three facts: a localization L ∞ estimate for the α−Riesz kernels, the exterior regularity property of γ α , 0 < α <

K) is the Banach space of continuous functions from Vq to K , equipped with the supremum norm.. be a finite or infinite sequence of elements

Para el estudio de este tipo de singularidades en el problema de Muskat, consideraremos el caso unif´ asico, esto es, un ´ unico fluido en el vac´ıo con µ 1 = ρ 1 = 0.. Grosso modo,

The proposed reliability measure (the R-measure) analyses the shape of the focus measure function and estimates the likelihood of obtaining an accurate depth estimation without

As a consequence, combining this result with known frame theory, we can recover in a simple way all previous Bracket characterizations of Riesz and frame sequences generated by a