Albin Petersson

collaborators

2 papers

math.FA2025

Trace type Orlicz spaces and analysis of Orlicz spaces by Lebesgue exponents

Albin Petersson

In the paper, we analyze the Lebesgue exponents $p_{Φ}$ and $q_{Φ}$ , and show that for any $p_{Φ} < p < \infty$ and $1 < q < q_{Φ}$ , there exists an equivalent Young function $Ψ$ with $p < p_Ψ…

math.FA2025

Fourier Multipliers on Quasi-Banach Orlicz Spaces and Orlicz Modulation Spaces

Albin Petersson

We find that if a Fourier multiplier is continuous from $L^{Φ_{1}}$ to $L^{Φ_{2}}$ , then it is also continuous from $M^{Φ_{1}, Ψ}$ to $M^{Φ_{2}, Ψ}$ , where $Φ_{1}, Φ_{2}, Ψ$ are quasi-Young functi…