H Eadedness and P Rosodic L Icensing in the L 1 a Cquisition of P Honology
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Some relations between $L^p$-spaces on locally compact group $G$ and double coset $Ksetminus G/H$
Let $H$ and $K$ be compact subgroups of locally compact group $G$. By considering the double coset space $Ksetminus G/H$, which equipped with an $N$-strongly quasi invariant measure $mu$, for $1leq pleq +infty$, we make a norm decreasing linear map from $L^p(G)$ onto $L^p(Ksetminus G/H,mu)$ and demonstrate that it may be identified with a quotient space of $L^p(G)$. In addition, we illustrate t...
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