Limiting fractional and Lorentz spaces estimates of differential forms

Abstract

We obtain estimates in Besov, Lizorkin-Triebel and Lorentz spaces of differential forms on R^n in terms of their L^1 norm.

5 pages

References in corpus (1)

• Subelliptic Bourgain-Brezis Estimates on Groups

Cited by in corpus (12)

• Limiting Sobolev inequalities for vector fields and canceling linear differential operators
• Embeddings for $\mathbb{A}$-weakly differentiable functions on domains
• On limiting trace inequalities for vectorial differential operators
• Endpoint $L^1$ estimates for Hodge systems
• Bourgain-Brezis Estimates on Symmetric Spaces of Non-compact Type
• Boundary ellipticity and limiting $L^1$-estimates on halfspaces
• ${\mathrm{L}}^1$-estimates for constant rank operators
• Injective ellipticity, cancelling operators, and endpoint Gagliardo-Nirenberg-Sobolev inequalities for vector fields
• Higher order analogues of exterior derivative
• New Directions in Harmonic Analysis on $L^1$
• A subelliptic Bourgain-Brezis inequality
• Fractional integral operator for $L^1$ vector fields and its applications