Variable exponent bounded variation spaces in the Riesz sense

DOI10.1016/j.na.2015.10.019zbMath1334.26015OpenAlexW2181625957MaRDI QIDQ900895

Humberto Rafeiro, Oscar Mauricio Guzmán, René Erlín Castillo

Publication date: 23 December 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.10.019

zbMATH Keywords

\(p\)-variationvariable exponent space

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Functions of bounded variation, generalizations (26A45) Absolutely continuous real functions in one variable (26A46)

Related Items

On the generalized Wiener bounded variation spaces with p-variable ⋮ Corrigendum to: ``Variable exponent bounded variation spaces in the Riesz sense ⋮ Convolution integral operators in variable bounded variation spaces ⋮ Nemytskii operator in Riesz-bounded variation spaces with variable exponent ⋮ Bivariate functions of bounded variation: fractal dimension and fractional integral ⋮ Linear functionals on variable exponent Bochner-Lebesgue spaces

Cites Work

• Variable Lebesgue spaces. Foundations and harmonic analysis
• Variable exponent Campanato spaces
• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• Modeling, mathematical and numerical analysis of electrorheological fluids.
• On stationary thermo-rheological viscous flows
• Regularity of minima: an invitation to the dark side of the calculus of variations.
• Variable exponent Morrey and Campanato spaces
• Overview of differential equations with non-standard growth
• A nonstandard smoothing in reconstruction of apparent diffusion coefficient profiles from diffusion weighted images
• New diffusion models in image processing
• Regularity results for electrorheological fluids: The stationary case
• Regularity results for stationary electro-rheological fluids
• Bounded variation spaces with \(p\)-variable
• Graduated adaptive image denoising: Local compromise between total variation and isotropic diffusion
• Variable exponent Bergman spaces
• On a non-linear model for image noise reduction
• On modular spaces
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item