Vertical maximal functions on manifolds with ends
Vertical maximal functions on manifolds with ends
Abstract We consider the setting of manifolds with ends which are obtained by compact perturbation (gluing) of ends of the form $${\mathbb {R}}^{n_i}\times {\mathcal {M}}_i$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:msub> <mml:mi>n</mml:mi> <mml:mi>i</mml:mi> </mml:msub> </mml:msup> <mml:mo>×</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mi>i</mml:mi> </mml:msub> </mml:mrow> </mml:math> . We investigate the family of …