Complex symmetric weighted composition-differentiation operators on Hardy-type spaces

Key Points

• The study characterizes complex symmetric weighted composition-differentiation operators on Hardy space H².
• Results on normal and self-adjoint operators are thoroughly explored, demonstrating regularity in this class of operators.
• Key results concerning S²_α,β and the Hardy space H²_1(ℝ) provide deeper insights into the structure of these operators.
• Connections between conjugation operators and weighted composition-differentiation operators enhance our understanding of operator theory.