摘要
文章主要考虑分式积分算子的有界性,讨论它的单权、双权模不等式,给出了分式积分算子从加权Lebesgue空间Lup到Lvp在权函数u(·)及v(·)满足一定条件下的有界性定理,并将有界性定理推广到更一般的空间即加权Lorentz空间。
This paper mainly studies the boundedness of the fractional integral operators and their single or double weighted modular inequalities, giving the bounded theorem of the fractional integral operators from the weighted Lebesgue spaces to when weighted functions u( · ) and v( · ) fit certain conditions. The bounded theorem is also extended to a more general space, i.e. the weighted Lorentz space.
