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math.FA2026
Analytic integration of metric-valued functions in Lipschitz free spaces
Roger Arnau, Ãlvaro González Cortés, Enrique A. Sánchez Pérez
We develop an integration theory for functions taking values in a metric space. Following a Bochner-type construction, we define the concept of free integral as an element of the L…
math.FA2026
Diagonalization of nonlinear functions in finite-dimensional spaces and the case of
Roger Arnau, Juan Carlos Cortés López, Ãlvaro González Cortés +1
This paper introduces a new theoretical framework for the diagonalization of nonlinear functions defined in finite-dimensional real Euclidean spaces. Extending classical results fr…
math.FA2024
Eccentric summing Lipschitz operators and integral inequalities on metric spaces and graphs
R. Arnau, E. A. Sánchez Pérez, S. Sanjuan
The extension of the concept of summability for linear operators to the context of Lipschitz operators on metric spaces has been extensively studied in recent years. This resea…