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We prove some quantitatively sharp estimates concerning the Δ₂ and ∇₂ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.
Gary M. Lieberman. "Orlicz spaces, α-decreasing functions, and the Δ₂ condition." Colloquium Mathematicae 101.1 (2004): 113-120. <http://eudml.org/doc/284198>.
@article{GaryM2004, abstract = {We prove some quantitatively sharp estimates concerning the Δ₂ and ∇₂ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.}, author = {Gary M. Lieberman}, journal = {Colloquium Mathematicae}, keywords = {Orlicz spaces; condition; condition; elliptic equations; positive increasing functions}, language = {eng}, number = {1}, pages = {113-120}, title = {Orlicz spaces, α-decreasing functions, and the Δ₂ condition}, url = {http://eudml.org/doc/284198}, volume = {101}, year = {2004}, }
TY - JOUR AU - Gary M. Lieberman TI - Orlicz spaces, α-decreasing functions, and the Δ₂ condition JO - Colloquium Mathematicae PY - 2004 VL - 101 IS - 1 SP - 113 EP - 120 AB - We prove some quantitatively sharp estimates concerning the Δ₂ and ∇₂ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations. LA - eng KW - Orlicz spaces; condition; condition; elliptic equations; positive increasing functions UR - http://eudml.org/doc/284198 ER -