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L^3 estimates for an algebraic variable coefficient Wolff circular maximal function
L^3 estimates algebraic variable coefficient Wolff circular maximal function
2011/1/17
In 1997, Thomas Wol proved sharp L3 bounds for his circular maximal function, and in 1999, Kolasa and Wol proved certain non-sharp Lp inequalities for a broader class of maximal functions arising fr...
Amusing properties of Klein-Gordon solutions on manifolds with variable geometry
properties Klein-Gordon solutions on manifolds variable geometry
2010/12/16
This work develops the recent proposition to use dimensional reduction from the four-imensional space-time to the one with a smaller number of dimensions (1 + d); d < 3 at high enough energy.To this g...
We consider Poincar?type inequalities of integral form for variable exponents. We give conditions under which these inequalities do not hold as well as conditions under which they hold.