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Non Integral Regularizing Operators on L p ‐ Spaces
Author(s) -
Voigt Jürgen
Publication year - 1999
Publication title -
mathematische nachrichten
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19992020114
Subject(s) - mathematics , bounded function , singular integral operators , pure mathematics , operator theory , fourier integral operator , mathematical analysis
We present bounded positivity preserving operators from L p (ℝ) to L q ( ℝ ), for 1 < p < ∞, 1/p‐1/q < 1/2, which are not integral operators.