TY - GEN AU - Alvarez, Edgardo AU - Lizama, Carlos AU - Murillo Arcila, Marina A4 - Matemáticas PY - 2026 SN - 0022-1236 SN - 1096-0783 UR - http://hdl.handle.net/10498/37336 AB - Let $X$ be a Banach space. Given a closed linear operator $A$ defined on $X$ we show that, in vector-valued H\"older spaces $C^{\alpha}(\R,X)\, \, (0<\alpha<1)$, maximal regularity for the abstract Cauchy problem can be characterized solely in... LA - eng PB - Elsevier KW - Maximal regularity KW - Hölder spaces KW - Abstract Cauchy problem KW - Tempered fractional derivatives TI - Maximal regularity of solutions for the tempered fractional Cauchy problem DO - 10.1016/j.jfa.2025.111196 ER -