Variable martingale Hardy spaces and their applications in Fourier analysis
Yong Jiao, Ferenc Weisz, Lian Wu, Dejian Zhou
Abstract
Let $p(\cdot)$ be a measurable function defined on a probability space satisfying $$ 0 \lt p_-:={\rm ess}\inf_{x\in \Omega}p(x)\leq {\rm ess}\sup_{x\in\Omega}p(x)=:p_+ \lt \infty. $$ We investigate five types of martingale Hardy spaces $H_{p(\cdot)}$ a
Topics & Concepts
Martingale (probability theory)MathematicsOmegaHardy spaceMaximal functionFourier transformFourier analysisLocal martingaleCombinatoricsFunction spaceDiscrete mathematicsMathematical analysisPhysicsApplied mathematicsQuantum mechanicsAdvanced Harmonic Analysis ResearchAdvanced Banach Space TheoryAdvanced Mathematical Physics Problems