Fractional Sobolev spaces with power weights

DOI10.2422/2036-2145.202112_002arXiv2110.04012OpenAlexW3205644415MaRDI QIDQ6072120

Michał Kijaczko

Publication date: 29 November 2023

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.04012

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15)

Related Items

Sharp fractional Hardy inequalities with a remainder for \(1 < p < 2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A density property for fractional weighted Sobolev spaces
• Functional analysis, Sobolev spaces and partial differential equations
• Uniform domains
• Uniform domains and the quasi-hyperbolic metric
• Hardy's inequalities for Sobolev functions
• Muckenhoupt \(A_p\)-properties of distance functions and applications to Hardy-Sobolev-type inequalities
• On density of compactly supported smooth functions in fractional Sobolev spaces
• Coercivity estimates for integro-differential operators
• On density of smooth functions in weighted fractional Sobolev spaces
• Density properties for fractional Sobolev spaces with variable exponents
• Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications
• A T(1) theorem for fractional Sobolev spaces on domains
• On comparability of integral forms
• Nonlocal quadratic forms with visibility constraint
• Reduction of integration domain in Triebel–Lizorkin spaces
• A TUBE FORMULA FOR THE KOCH SNOWFLAKE CURVE, WITH APPLICATIONS TO COMPLEX DIMENSIONS
• Definitions for uniform domains
• Injectivity theorems in plane and space
• Dimensions, Whitney covers, and tubular neighborhoods
• Quadratic forms and Sobolev spaces of fractional order
• A framework for fractional Hardy inequalities