
doi: 10.1155/2014/198060
Spaces with variable exponentsLpx(H,μ)andLpx(H,μ;H)are introduced. After discussing some approximation results ofLpx(H,μ), Sobolev spaces onHwith variable exponents are introduced. At last, we define Malliavin derivatives inLpx(H,μ)and discuss some properties of Malliavin derivatives inLpx(H,μ).
Derivatives of functions in infinite-dimensional spaces, Malliavin derivatives, Sobolev space, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), spaces with variable exponents, QA1-939, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Mathematics
Derivatives of functions in infinite-dimensional spaces, Malliavin derivatives, Sobolev space, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), spaces with variable exponents, QA1-939, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Mathematics
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