Boundedness of differential transforms for one-sided fractional Poisson-type operator sequence

2019/07/17 by Zhang, Chao, Ma, Tao, Torrea, José L.
#42B20 #42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.07422

Abstract

In this paper, we analyze the convergence speed of a series related with P_τ^αf by discussing the behavior of the family of operators \beginequation* T_N^αf(t) = ∑_j=N1^N₂ v_j(P_a_j+1^αf(t)-P_aj^αf(t)), ~N=(N₁,N₂)∈ ℤ² \hboxwith N₁

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