Bernstein inequality on parabolic domains
classification
🧮 math.CA
keywords
parabolicbernsteindomainsspaceweightedbasisboundeddifferential
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Several families of sharp Bernstein inequalities are established on the weighted $L^2$ space over parabolic domains, which include bounded or unbounded rotational paraboloids and parabolic surfaces. The main tool is a second-order differential operator satisfied by a specific basis of orthogonal polynomials in weighted $L^2$ space.
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