Optimal embeddings of generalized homogeneous Sobolev spaces

• Autorzy: Irshaad Ahmed , Georgi Eremiev Karadzhov
• Języki publikacji: EN

Abstrakty

EN

We prove optimal embeddings of homogeneous Sobolev spaces built over function spaces in ℝⁿ with K-monotone and rearrangement invariant norm into other rearrangement invariant function spaces. The investigation is based on pointwise and integral estimates of the rearrangement or the oscillation of the rearrangement of f in terms of the rearrangement of the derivatives of f.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 123
• Numer: 1
• Strony: 1-20

Daty

wydano

2011

Twórcy

autor

Irshaad Ahmed

• Abdus Salam School of Mathematical Sciences, GC University Lahore, 54600 Lahore, Pakistan

autor

Georgi Eremiev Karadzhov

• Abdus Salam School of Mathematical Sciences, GC University Lahore
• Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria

Identyfikatory

DOI

10.4064/cm123-1-1