What question did this study set out to answer?

The aim is to derive new Sobolev-type inequalities using fractional IFO operators and investigate the phase transition behavior as parameters vary.

March 7, 2026Open Access

Fractional Ibaguner-IFO Operators and Infrared Phase Transition in Sobolev-Type Inequalities

Key Points

The aim is to derive new Sobolev-type inequalities using fractional IFO operators and investigate the phase transition behavior as parameters vary.
Derived a new Sobolev-type inequality with fractional IFO operators.
Applied exponential infrared regularization.
Conducted numerical simulations to support theoretical findings.
Established a rigorous phase transition as the parameter approaches zero.
Numerical simulations confirmed the theoretical results, demonstrating infrared control's importance.

Abstract

We have derived a new Sobolev-type inequality induced by fractional IFO operators with exponential infrared regularization and demonstrated a rigorous phase transition as λ → 0. Numerical simulations reinforce the theoretical findings, highlighting the structural necessity of infrared control.

Read Full Paperexternally

AIに質問

Bookmark

View Full Paper