activity
20142026
most citedNon-local self-improving properties: A functional analytic approach

26 citations · 138 across the 26 of their papers we have counts for

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2 papers · 1 filter

math.AP2014★ 14 cited

Parabolic weighted norm inequalities and partial differential equations

Juha Kinnunen, Olli Saari

We investigate parabolic Muckenhoupt weights and functions of bounded mean oscillation (BMO) related to nonlinear parabolic partial differential equations. The main result gives a…

math.AP2014★ 17 cited

Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations

Olli Saari

We prove that local and global parabolic BMO spaces are equal thus extending the classical result of Reimann and Rychener. Moreover, we show that functions in parabolic BMO are exp…