Two-parameter Garsia--Rodemich--Rumsey inequality and its application to fractional Brownian fields
Анотація
The paper contains a generalization of the GarsiaâRodemichâRumsey inequality to the case of a function of two arguments. Based on this result, we obtain two other inequalities for the fractional Brownian field on the plane, namely an inequality for the Hölder constant of the field and similar bounds for its fractional derivatives.
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