scientific article

Tatyana Shaposhnikova, Vladimir Gilelevich Maz'ya

Publication date: 1985

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

imbedding Bessel potential spaces essential norm of a multiplier calculus of singular integral operators whose symbols are multipliers change of variables in norms of Sobolev spaces composite function theorems elliptic boundary value problems in domains with non-smooth boundaries elliptic boundary value problems in spaces of multipliers implicit function theorems for multipliers multipliers in a domain multipliers in pairs of integer and fractional Sobolev spaces spectral properties of multipliers trace and extension theorems for multipliers in Sobolev spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Banach spaces of continuous, differentiable or analytic functions (46E15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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