5 citations · 6 across the 9 of their papers we have counts for
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Analytic integration of metric-valued functions in Lipschitz free spaces
Roger Arnau, Álvaro 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…
Diagonalization of nonlinear functions in finite-dimensional spaces and the case of
Roger Arnau, Juan Carlos Cortés López, Álvaro 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…
Lattice Lipschitz operators on space
Roger Arnau, Jose M. Calabuig, Enrique A. Sánchez-Pérez
Given a Banach lattice the space of lattice Lipschitz operators on has been introduced as a natural Lipschitz generalization of the linear notions of diagonal operator and…
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…
Lattice Lipschitz superposition operators on Banach function spaces
Roger Arnau, Jose M. Calabuig, Ezgi Erdoğan +1
We analyse and characterise the notion of lattice Lipschitz operator (a class of superposition operators, diagonal Lipschitz maps) when defined between Banach function spaces. Afte…
Approximation of almost diagonal non-linear maps by lattice Lipschitz operators
Roger Arnau, Jose M. Calabuig, Ezgi Erdoğan +1
Lattice Lipschitz operators define a new class of nonlinear Banach-lattice-valued maps that can be written as diagonal functions with respect to a certain basis. In the dimensi…