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math.CA2008
Riesz transforms for Jacobi expansions
Adam Nowak, Peter Sjögren
We define and study Riesz transforms and conjugate Poisson integrals associated with multi-dimensional Jacobi expansions.
math.CA2008
The multi-dimensional pencil phenomenon for Laguerre heat-diffusion maximal operators
Adam Nowak, Peter Sjögren
We investigate in detail the mapping properties of the maximal operator associated with the heat-diffusion semigroup corresponding to expansions with respect to multi-dimensional s…
math.CA2008
On the H^1-L^1 boundedness of operators
S. Meda, P. Sjogren, M. Vallarino
We prove that if q is in (1,\infty), Y is a Banach space and T is a linear operator defined on the space of finite linear combinations of (1,q)-atoms in R^n which is uniformly boun…