Solving dual integral equations on Lebesgue spaces

  1. Ciaurri, O. 2
  2. Guadalupe, J.J. 2
  3. Pérez, M. 1
  4. Varona, J.L. 2
  1. 1 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Aldizkaria:
Studia Mathematica

ISSN: 0039-3223

Argitalpen urtea: 2000

Alea: 142

Zenbakia: 3

Orrialdeak: 253-267

Mota: Artikulua

DOI: 10.4064/SM-142-3-253-267 SCOPUS: 2-s2.0-0012574021 WoS: WOS:000167585000005 GOOGLE SCHOLAR lock_openSarbide irekia editor

Beste argitalpen batzuk: Studia Mathematica

Gordailu instituzionala: lock_openSarbide irekia Editor lock_openSarbide irekia Postprint

Laburpena

We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh's type. We reformulate these equations giving a better description in terms of continuous operators on Lp spaces, and we solve them in these spaces. The solution is given both as an operator described in terms of integrals and as a series Σ∞n=0 cnJμ+2n+1 which converges in the Lp-norm and almost everywhere, where Jv denotes the Bessel function of order v. Finally, we study the uniqueness of the solution.