| J. Jost, H. Karcher, 'Geometrische Methoden zur Gewinnung von a-priori-Schranken fur harmonische Abbildungen', Manuscripta Math. 40 (1982), 27-77. |
....of the first order derivatives by the Laplace operator for a class of symmetric spaces. We are interested in the estimates of the derivative of a function by the function and its Laplacian in L spaces for 1 p 1. Similar estimates are known for p = 1 for manifolds with bounded curvature ([1]) On the other hand estimates for 1 p 1 are well known for Euclidean spaces ( 7] and are closely related to the question of the continuity of pseudo differential operators of order zero, which hold only locally on general manifolds. We will give a unifying algebraic proof for global ....
J. Jost, H. Karcher, 'Geometrische Methoden zur Gewinnung von a-priori-Schranken fur harmonische Abbildungen', Manuscripta Math. 40 (1982), 27-77.
....by the elliptic operator of higher order on symmetric spaces of noncompact type. We are also interested in the estimates of the derivative of a function by the function and its Laplacian in L spaces for 1 p 1. Similar estimates are known for p = 1 for manifolds with bounded curvature ([1]) On the other hand estimates for 1 p 1 are well known for Euclidean spaces ( 6] and are closely related to the question of the continuity of pseudo differential operators of order zero, which hold only locally on general manifolds. We will give a unifying algebraic proof for global ....
J. Jost, H. Karcher, Geometrische Methoden zur Gewinnung von a-priori-Schranken fur harmonische Abbildungen, Manuscripta Math. 40 (1982), 27-77.
....of the first order derivatives by the Laplace operator for a class of symmetric spaces. We are interested in the estimates of the derivative of a function by the function and its Laplacian in L p spaces for 1 p 1. Similar estimates are known for p = 1 for manifolds with bounded curvature ([1]) On the other hand estimates for 1 p 1 are well known for Euclidean spaces ( 7] and are closely related to the question of the continuity of pseudo differential operators of order zero, which hold only locally on general manifolds. We will give a unifying algebraic proof for global ....
J. Jost, H. Karcher, 'Geometrische Methoden zur Gewinnung von a-priori-Schranken fur harmonische Abbildungen', Manuscripta Math. 40 (1982), 27-77.
....by the elliptic operator of higher order on symmetric spaces of noncompact type. We are also interested in the estimates of the derivative of a function by the function and its Laplacian in L p spaces for 1 p 1. Similar estimates are known for p = 1 for manifolds with bounded curvature ([1]) On the other hand estimates for 1 p 1 are well known for Euclidean spaces ( 6] and are closely related to the question of the continuity of pseudo differential operators of order zero, which hold only locally on general manifolds. We will give a unifying algebraic proof for global ....
J. Jost, H. Karcher, Geometrische Methoden zur Gewinnung von a-priori-Schranken fur harmonische Abbildungen, Manuscripta Math. 40 (1982), 27-77.
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