A weighted transplantation theorem for Jacobi coefficients

[摘要] We present a transplantation theorem for Jacobi coefficients in weighted spaces. In fact, by using a discrete vector-valued local Calderon-Zygmund theory, which has recently been furnished, we prove the boundedness of transplantation operators from l(P)(N, omega) into itself, where w is a weight in the discrete Muckenhoupt class A(p) (N). Moreover, we obtain weighted weak (1, 1) estimates for those operators. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-01

[关键词] Transplantation;Jacobi coefficients;Jacobi polynomials;Discrete vector-valued local Calderon-Zygmund theory;Weighted norm inequalities