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On a Conjecture of a Bound for the Exponent of the Schur Multiplier of a Finite $p$-Group
Conjecture Exponent Schur Multiplier Finite $p$-Group
2010/11/18
Let $G$ be a $p$-group of nilpotency class $k$ with finite exponent $\exp(G)$ and let $m=\lfloor\log_pk\rfloor$. We show that $\exp(M^{(c)}(G))$ divides $\exp(G)p^{m(k-1)}$, for all $c\geq1$, where $...
Endpoint multiplier theorems of Marcinkiewicz type
Endpoint multiplier theorems Marcinkiewicz type
2010/10/29
We establish sharp (H^1, L^{1,q}) and local (L \log^r L, L^{1,q}) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier...