Open AccessConvolution on spaces of locally summable functions
Author(s) -
Federica Andreano,
Renato Grande
Publication year - 2008
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2008/817931
Subject(s) - pointwise , algorithm , computer science , artificial intelligence , mathematics , mathematical analysis
In this work we prove the existence of convolution on Marcinkiewicz spaces p(ℝ), 1≤p<∞, and, using pointwise approximate identities, we extend the classical definition of Hilbert transform to such spaces
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