English

Fourier transforms on an amalgam type space

Classical Analysis and ODEs 2012-04-24 v1

Abstract

We introduce an amalgam type space, a subspace of L1(R+).L^1(\mathbb R_+). Integrability results for the Fourier transform of a function with the derivative from such an amalgam space are proved. As an application we obtain estimates for the integrability of trigonometric series.

Keywords

Cite

@article{arxiv.1204.5157,
  title  = {Fourier transforms on an amalgam type space},
  author = {E. Liflyand},
  journal= {arXiv preprint arXiv:1204.5157},
  year   = {2012}
}

Comments

10 pages

R2 v1 2026-06-21T20:53:38.969Z