Sur un modèle non-linéaire pour le débruitage de l'image

Fractional Operators in p -adic Variable Exponent Lebesgue Spaces and Application to p -adic Derivative

“…These spaces were introduced in 1931 by Orlicz [5] but lay essentially dormant for more than 50 years. They received a thrust in the paper [6] and are now an active area of research having many known applications, e.g., in the modeling of thermorheological fluids [7] as well as electrorheological fluids [8][9][10][11], in differential equations with nonstandard growth [12,13], and in the study of image processing [14][15][16][17][18][19][20]. For a thorough history, theory, and applications of variable exponent Lebesgue spaces, see [6,[21][22][23][24].…”

Variable Exponent Spaces of Analytic Functions

“…This model uses one value of p near the edge of images and another one near smooth regions, which leads to the variable exponent setting of the problem. Other references discussing image processing are [8][9][10][11][12][13]. This theory has also been applied to differential equations with nonstandard growth (see [14,15]).…”

Multiplication operators in variable Lebesgue spaces

“…To see a more detailed history of such spaces see, e.g., [17, §1.1]. These variable exponent function spaces have a wide variety of applications, e.g., in the modeling of electrorheological fluids [4,5,31] as well as thermorheological fluids [6], in the study of image processing [1,2,10,11,14,15,34] and in differential equations with non-standard growth [23,28]. For details on variable Lebesgue spaces one can refer to [16,17,21,27,30] and the references therein.…”