New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates

Key Points

• New weighted riesz-type inequalities indicate improved relationships among integral operators, leading to broader mathematical insights.
• The study uncovers pointwise inequalities that relate rough singular integral operators to weighted operators, enhancing existing theories.
• Analysis involves developing new subrepresentation formulas, which will aid in deriving fresh sobolev-type inequalities.
• Implications of these results highlight the potential for refining integral operator relationships, broadening the scope of applications in mathematics.