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WEIGHTED HARDY SPACES AND ULTRADISTRIBUTIONS

Author(s):
Hoepfner, G. ; Raich, A. ; Rampazo, P.
Total Authors: 3
Document type: Journal article
Source: HOUSTON JOURNAL OF MATHEMATICS; v. 49, n. 1, p. 35-pg., 2023-01-01.
Abstract

The goal of this work is to identify certain classes of global ultradistributions as boundary values of generalized Hardy spaces defined on cones. The ultradistributions arise as elements of dual spaces of classes of globally L-q-integrable ultradifferentiable functions defined in terms of weight functions. We also demonstrate that global L-q-Gevrey functions are an example. (AU)

FAPESP's process: 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis
Grantee:Paulo Domingos Cordaro
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 19/04995-3 - Qualitative properties of partial differential equations and several complex variables
Grantee:Gustavo Hoepfner
Support Opportunities: Regular Research Grants