Rigid cohomology of Drinfeld’s upper half space over a finite field
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-017-1951-7
Abstract: In this paper the rigid cohomology of Drinfeld’s upper half space over a finite field is computed in two ways. The first method proceeds by computation of the rigid cohomology of the complement of Drinfeld’s… read more here.
Keywords: space; cohomology; half space; upper half ... See more keywords
Stein–Weiss type inequality on the upper half space and its applications
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DOI: 10.1007/s00209-023-03419-y
Abstract: In this paper, we establish some Stein–Weiss type inequalities with general kernels on the upper half space and study the extremal functions of the optimal constant. Furthermore, we also investigate the regularity, asymptotic estimates, symmetry… read more here.
Keywords: weiss type; type; stein weiss; upper half ... See more keywords
Comparison of Boundary Smoothness for an Analytic Function and for its Modulus in the Case of the Upper Half-Plane
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DOI: 10.1007/s10958-018-3696-1
Abstract: Results of a recent paper by A. V. Vasin, S. V. Kislyakov, and the author are extended to the case of outer functions in the upper half-plane. As in the case of the disk, it… read more here.
Keywords: half plane; case; upper half; half ... See more keywords
Reproducing Kernels for Iterated Parabolic Operators on the Upper Half Space with Application to Polyharmonic Bergman Spaces
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DOI: 10.1007/s11785-017-0673-5
Abstract: We consider parabolic operators of fractional order and their iterates on the upper half space of the euclidean space. We deal with Hilbert spaces of solutions of those parabolic equations. We shall show, in this… read more here.
Keywords: space; reproducing kernels; parabolic operators; half space ... See more keywords
Invariant metric on the extended Siegel–Jacobi upper half space
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DOI: 10.1016/j.geomphys.2020.104049
Abstract: Abstract The real Jacobi group G n J ( R ) , defined as the semidirect product of the Heisenberg group H n ( R ) with the symplectic group Sp ( n , R… read more here.
Keywords: jacobi; half space; invariant metric; jacobi upper ... See more keywords
Monotonicity of solutions for the uniformly elliptic nonlocal Bellman equation on the upper half space
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124843
Abstract: Abstract In this paper, we develop a sliding method for the uniformly elliptic nonlocal Bellman operator. We first establish a maximum principle on an upper half space, which plays an important role in the sliding… read more here.
Keywords: nonlocal bellman; half space; uniformly elliptic; upper half ... See more keywords
Mixed Fourier Norm Spaces of Analytic Functions on the Upper Half-Plane and Toeplitz Operators
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DOI: 10.1134/s0001434625030010
Abstract: We introduce and study weighted spaces of functions with mixed norm on the upper half-plane, defined in terms of the Fourier transform. We characterize analytic functions in these spaces and, in particular, give an analog… read more here.
Keywords: analytic functions; upper half; toeplitz operators; half plane ... See more keywords
Superharmonic functions in the upper half space with a nonlocal boundary condition
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DOI: 10.3934/dcds.2025016
Abstract: We discuss the existence of positive superharmonic functions $u$ in $\mathbb{R}^N_+=\mathbb{R}^{N-1}\times (0, \infty)$, $N\geq 3$, in the sense $-\Delta u=\mu$ for some Radon measure $\mu$, so that $u$ satisfies the nonlocal boundary condition $$ \frac{\partial… read more here.
Keywords: superharmonic functions; boundary condition; functions upper; nonlocal boundary ... See more keywords