Sagun Chanillo

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math.AP2025

Small Divisor problems and $A_{p}$ weights with an application

Sagun Chanillo

We establish a link between Muckenhoupt $A_{p}$ weights and a means to address small divisor problems. We use this link to obtain a quantitative version of the Ehrenpreis-Malgrange t…

math.AP2024

Sagun Chanillo, Andrea Malchiodi

We prove a conjecture in fluid dynamics concerning optimal bounds for heat transportation in the infinite Prandtl number limit. Due to a maximum principle property for the temperat…

Small Divisor problems and Ap​ weights with an application

Sharp bounds on the Nusselt number in Rayleigh-BÃ©nard convection and a bilinear estimate via Carleson measures

Small Divisor problems and $A_{p}$ weights with an application