Michihiro Hirayama

activity

20202024

collaborators

Showing math.CAShow all

2 papers · 1 filter

math.CA2022

On the coexistence of divergence and convergence phenomena for the Fourier-Haar series for non-negative functions

Michihiro Hirayama, Davit Karagulyan

Let ${H_{n, m}}_{n, m \in N}$ be the two dimensional Haar system and $S_{n, m} f$ be the rectangular partial sums of its Fourier series with respect to some $f\in L^1([0,1)^2…

math.CA2021

Differentiation properties of class $L^{1} ([0, 1]^{2})$ with respect to two different basis of rectangles

Michihiro Hirayama, Davit Karagulyan

It is a well-known result by Saks \cite{Saks1934} that there exists a function $f \in L^{1} (R^{2})$ so that for almost every $(x, y) \in R^{2}$ \[ \lim_{\substack{\mathrm…

On the coexistence of divergence and convergence phenomena for the Fourier-Haar series for non-negative functions

Differentiation properties of class L1([0,1]2) with respect to two different basis of rectangles

Differentiation properties of class $L^{1} ([0, 1]^{2})$ with respect to two different basis of rectangles