Growth of functions in tubes.

Carmichael, Richard D.; Richters, Stephen P.

Displaying similar documents to “Growth of $H^{p}$ functions in tubes.”

$L^{p}$ estimates for the Cauchy transforms of distributions with respect to convex cones

Laura De Carli (1992)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

$H^{p}$ spaces in tubes and distributional boundary values

Carmichael, D. Richard (1982)

Portugaliae mathematica

Similarity:

Holomorphic extension of generalizations of $H^{p}$ functions.

Carmichael, Richard D. (1985)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Poisson-like kernels in tube domains over light-cones

Gustavo Garrigós (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

A family of holomorphic function spaces can be defined with reproducing kernels $B_{α} (z, w)$ , obtained as real powers of the Cauchy-Szegö kernel. In this paper we study properties of the associated Poisson-like kernels: $P_{α} (z, w) = {|B_{α} (z, w)|}^{2} / B_{α} (z, z)$ . In particular, we show boundedness of associated maximal operators, and obtain formulas for the limit of Poisson integrals in the topological boundary of the cone.