English

Multipliers and embedding operators with application to abstract differential equat{\i}ons

Functional Analysis 2017-06-06 v1 Analysis of PDEs

Abstract

In this paper, Mikhlin and Marcinkiewicz--Lizorkin type operator-valued multiplier theorems in weighted Lebesgue-Bochner spaces are studied. By using this results embedding theorems in Sobolev-Lions type spaces is obtained. Moreover, maximal regularity properties of abstract elliptic and parabolic equations are derived

Keywords

Cite

@article{arxiv.1706.00808,
  title  = {Multipliers and embedding operators with application to abstract differential equat{\i}ons},
  author = {Veli Shakhmurov},
  journal= {arXiv preprint arXiv:1706.00808},
  year   = {2017}
}

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R2 v1 2026-06-22T20:07:50.256Z