Fractional integration with singularity on Light-cone, II
Zipeng Wang
TL;DR
This paper investigates a family of fractional integral operators with kernels that have a critical singularity on the light-cone in higher-dimensional space, expanding understanding of their mathematical properties.
Contribution
It introduces and analyzes fractional integral operators with kernels singular on the light-cone, a novel aspect in the study of such operators.
Findings
Characterization of the singularity on the light-cone.
Conditions for boundedness of the operators.
Insights into the behavior of fractional integrals with critical kernels.
Abstract
In this paper, we study a family of fractional integral operators whose kernel carrying a critical index has singularity on the light-cone in R^n+1.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Nonlinear Partial Differential Equations · Nonlinear Differential Equations Analysis