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.
|Number of pages||23|
|Journal||Journal of the Mathematical Society of Japan|
|Publication status||Published - 2016|
- Pointwise multiplication
- Sobolev spaces
ASJC Scopus subject areas