Convolution on spaces of locally summable functions
In this work we prove the existence of convolution on Marcinkiewicz spaces 𝔐p(ℝ), 1≤p<∞, and, using pointwise approximate identities, we extend the classical definition of Hilbert transform to such spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/817931 |
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