Embeddings into Orlicz spaces for functions from unbounded irregular domains

DOI10.1007/s11785-019-00898-yzbMath1433.31003OpenAlexW2911702454WikidataQ128423322 ScholiaQ128423322MaRDI QIDQ2007956

Ritva Hurri-Syrjänen, Petteri Harjulehto

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-019-00898-y

zbMATH Keywords

Orlicz spacePoincaré inequalitySobolev inequalityRiesz potentialnon-smooth domainunbounded convex domain

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities on other spaces (31C15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Trudinger's inequality on Musielak-Orlicz-Morrey spaces over non-doubling metric measure spaces ⋮ Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces ⋮ On Trudinger-type Inequalities in Orlicz-Morrey Spaces of an Integral Form

Cites Work

• The maximal operator on generalized Orlicz spaces
• Quasiconformal maps of cylindrical domains
• Integral representations of differentiable functions in domains with nonsmooth boundary
• John disks
• Elliptic partial differential equations of second order
• Pointwise estimates to the modified Riesz potential
• An embedding into an Orlicz space for irregular John domains
• An Embedding into an Orlicz space for 𝐿¹₁-Functions from Irregular Domains
• Rotation and strain
• Unbounded Poincaré domains
• Injectivity theorems in plane and space
• On Certain Convolution Inequalities
• Sobolev imbedding theorems in borderline cases
• Sobolev inequalities of exponential type
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Embeddings into Orlicz spaces for functions from unbounded irregular domains