Agnieszka Kalamajska (Institute of Mathematics PAN)
Gagliardo-Nirenberg interpolation inequalities in Orlicz spaces
Abstract.
We obtain Gagliardo-Nirenberg interpolation inequalities in
weighted Orlicz spaces described by the possibly distinct Young
functions. An abstract approach is illustrated in the class of
logarithmic and exponential-type Orlicz spaces. The classical
inequalities follow as a special case. The presented results are
based on joint works with Katarzyna Pietruska-Paluba.
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