Gagliardo–Nirenberg inequalities in weighted Orlicz spaces

Tom 173 / 2006

Agnieszka Ka/lamajska, Katarzyna Pietruska-Pa/luba Studia Mathematica 173 (2006), 49-71 MSC: Primary 26D10; Secondary 46E35, 46E30. DOI: 10.4064/sm173-1-4

Streszczenie

We derive inequalities of Gagliardo–Nirenberg type in weighted Orlicz spaces on $\mathbb R^n$, for maximal functions of derivatives and for the derivatives themselves. This is done by an application of pointwise interpolation inequalities obtained previously by the first author and of Muckenhoupt–Bloom–Kerman-type theorems for maximal functions.

Autorzy

  • Agnieszka Ka/lamajskaInstitute of Mathematics
    Warsaw University
    Banacha 2
    02-097 Warszawa, Poland
    e-mail
  • Katarzyna Pietruska-Pa/lubaInstitute of Mathematics
    Warsaw University
    Banacha 2
    02-097 Warszawa, Poland
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek