@article{c08b54745aaf48f7a9f51a8a2922d255,
title = "Weighted Lp-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces",
abstract = "We study the boundedness of integral operators of convolution type in the Lebesgue spaces with weights. As a byproduct, we give a simple proof of the fact that the standard Sobolev space Hs(Rn) forms an algebra for s > n/2. Moreover, an optimality criterion is presented in the framework of weighted Lp-boundedness.",
keywords = "Pointwise multiplication, Sobolev spaces",
author = "Kazumasa Fujiwara and Tohru Ozawa",
note = "Publisher Copyright: {\textcopyright} 2016 The Mathematical Society of Japan. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.",
year = "2016",
doi = "10.2969/jmsj/06810169",
language = "English",
volume = "68",
pages = "169--191",
journal = "Journal of the Mathematical Society of Japan",
issn = "0025-5645",
publisher = "Mathematical Society of Japan - Kobe University",
number = "1",
}