Translation-Invariant Bilinear Operators with Positive Kernels
نویسندگان
چکیده
منابع مشابه
Translation-invariant bilinear operators with positive kernels
We study L (or Lr,∞) boundedness for bilinear translation-invariant operators with nonnegative kernels acting on functions on R. We prove that if such operators are bounded on some products of Lebesgue spaces, then their kernels must necessarily be integrable functions on R, while via a counterexample we show that the converse statement is not valid. We provide certain necessary and some suffic...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2010
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-010-1746-2