Geodesic
Gagliardo–Nirenberg inequalities in weighted Orlicz spaces
Agnieszka Ka/lamajska1 ; Katarzyna Pietruska-Pa/luba1
1Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Studia Mathematica, Tome 173 (2006) no. 1, pp. 49-71
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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.
DOI : 10.4064/sm173-1-4
Keywords: derive inequalities gagliardo nirenberg type weighted orlicz spaces mathbb maximal functions derivatives derivatives themselves done application pointwise interpolation inequalities obtained previously first author muckenhoupt bloom kerman type theorems maximal functions

Agnieszka Ka/lamajska  1   ; Katarzyna Pietruska-Pa/luba  1

1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Agnieszka Ka/lamajska; Katarzyna Pietruska-Pa/luba. Gagliardo–Nirenberg inequalities
in  weighted Orlicz spaces. Studia Mathematica, Tome 173 (2006) no. 1, pp. 49-71. doi: 10.4064/sm173-1-4

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