English

Pointwise Multipliers between weighted Copson and Ces\`{a}ro function spaces

Functional Analysis 2020-02-05 v1

Abstract

In this paper the solution of the pointwise multiplier problem between weighted Copson function spaces Copp1,q1(u1,v1)\operatorname{Cop}_{p_1,q_1}(u_1,v_1) and weighted Ces\`{a}ro function spaces Cesp2,q2(u2,v2)\operatorname{Ces}_{p_2,q_2}(u_2,v_2) is presented, where p1,p2,q1,q2(0,)p_1,\,p_2,\,q_1,\,q_2 \in (0,\infty), p2q2p_2 \le q_2 and u1,u2,v1,v2u_1,\,u_2,\,v_1,\,v_2 are weights on (0,)(0,\infty).

Cite

@article{arxiv.1902.07604,
  title  = {Pointwise Multipliers between weighted Copson and Ces\`{a}ro function spaces},
  author = {A. Gogatishvili and R. Ch. Mustafayev and T. Ünver},
  journal= {arXiv preprint arXiv:1902.07604},
  year   = {2020}
}

Comments

27 pages. arXiv admin note: text overlap with arXiv:1507.07866

R2 v1 2026-06-23T07:46:07.328Z