Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces
type: Item
instance of: scholarly article
title: Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces
zbMATH Open document ID: 1481.46030
author: Yoshihiro Mizuta
author: Tetsu Shimomura
published in: Positivity
publication date: 2021-08-16T00:00:00Z
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 31B15
zbMATH DE Number: 7382089
zbMATH Keywords: fractional maximal functions
zbMATH Keywords: Green potentials
zbMATH Keywords: Sobolev's inequality
MaRDI profile type: Publication
full work available at URL: s11117-021-00810-z
OpenAlex ID: W3121521349
cites work: A note on Riesz potentials
cites work: Q3515821
cites work: Q4321362
cites work: The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
cites work: Q5748393
cites work: Q4007880
cites work: Growth Properties of pth Means of Potentials in the Unit Ball
cites work: REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
cites work: Sharp integral estimates for the fractional maximal function and interpolation
cites work: On very weak solutions of certain elliptic systems
cites work: Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
cites work: Boundary Limits of Green Potentials of General Order
cites work: Growth properties of \(p\)-th hyperplane means of Green potentials in a half space
cites work: Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents
cites work: Sobolev's inequalities for Herz-Morrey-Orlicz spaces on the half space
cites work: On the theory of \({\mathcal L}_{p, \lambda}\) spaces
cites work: Q5607484
cites work: Boundary limits of Green potentials in the unit disc
DOI: 10.1007/S11117-021-00810-Z
description: scientific article; zbMATH DE number 7382089